# 4%2D1 Graphing Equations In Slope%2DIntercept Form

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4-1 Graphing Equations in Slope-Intercept FormWrite an equation of a line in slope-intercept form with the given slope and y-intercept. Then graph theequation.slope: 2, y-intercept: 4The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.Plot the y-intercept (0, 4). The slope is. From (0, 4), move down 2 units and left 1 unit.(Note that we canmove up and to the right, or down and to the left. Normally we would move up and to the right, but moving down andto the left keeps the point near the origin.) Plot the point. Draw a line through the two points.yeSolutions Manual - Powered by CogneroPage 1

4-1 Graphing Equations in Slope-Intercept Formslope: 5, y-intercept: 3The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.Plot the y-intercept (0, 3). The slope is. From (0, 3), move down 5 units and right 1 unit. Plot the point.Draw a line through the two points.slope:, y-intercept: 1The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.Plot the y-intercept (0, 1). The slope is. From (0, 1), move up 3 units and right 4 units. Plot the point.Draw a line through the two points.eSolutions Manual - Powered by Cogneroslope:, y-intercept:Page 2

4-1 Graphing Equations in Slope-Intercept Formslope:, y-intercept: 1The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.Plot the y-intercept (0, 1). The slope is. From (0, 1), move up 3 units and right 4 units. Plot the point.Draw a line through the two points.slope:, y-intercept:The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.Plot the y-interceptThe slope is. From, move down 5 units and right 7 units. Plot thepoint. Draw a line through the two points.eSolutions Manual - Powered by CogneroPage 3

4-1 Graphing Equations in Slope-Intercept Formslope:, y-intercept:The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.Plot the y-interceptThe slope is. From, move down 5 units and right 7 units. Plot thepoint. Draw a line through the two points.Graph each equation.4x y 2Rewrite the equation in slope-intercept form.The slope is 4, and the y-intercept is 2. Plot the y-intercept (0, 2). The slope is. From (0, 2), move up 4 unitsand right 1 unit. Plot the point. Draw a line through the two points.eSolutions Manual - Powered by CogneroPage 4

4-1 Graphing Equations in Slope-Intercept FormGraph each equation.4x y 2Rewrite the equation in slope-intercept form.The slope is 4, and the y-intercept is 2. Plot the y-intercept (0, 2). The slope is. From (0, 2), move up 4 unitsand right 1 unit. Plot the point. Draw a line through the two points.2x y 6Rewrite the equation in slope-intercept form.The slope is 2, and the y-intercept is 6. Plot the y-intercept (0, 6). The slope is. From (0, 6), movedown 2 units and right 1 unit. Plot the point. Draw a line through the two points.eSolutions Manual - Powered by CogneroPage 5

4-1 Graphing Equations in Slope-Intercept Form2x y 6Rewrite the equation in slope-intercept form.The slope is 2, and the y-intercept is 6. Plot the y-intercept (0, 6). The slope is. From (0, 6), movedown 2 units and right 1 unit. Plot the point. Draw a line through the two points.3x 7y 21Rewrite the equation in slope-intercept form.The slope is, and the y-intercept is 3. Plot the y-intercept (0, 3). The slope is. From (0, 3), move up 3units and right 7 units. Plot the point. Draw a line through the two points.eSolutions Manual - Powered by CogneroPage 6

4-1 Graphing Equations in Slope-Intercept Form3x 7y 21Rewrite the equation in slope-intercept form.The slope is, and the y-intercept is 3. Plot the y-intercept (0, 3). The slope is. From (0, 3), move up 3units and right 7 units. Plot the point. Draw a line through the two points.6x4y 16Rewrite the equation in slope-intercept form.The slope is, and the y-intercept is 4. Plot the y-intercept (0, 4). The slope is3 units and right 2 units. Plot the point. Draw a line through the two points.eSolutions Manual - Powered by Cognero. From (0, 4), move upPage 7

4-1 Graphing Equations in Slope-Intercept Form6x4y 16Rewrite the equation in slope-intercept form.The slope is, and the y-intercept is 4. Plot the y-intercept (0, 4). The slope is. From (0, 4), move up3 units and right 2 units. Plot the point. Draw a line through the two points.y 1Plot the y-intercept (0, 1). The slope is 0. Draw a line through the points with y-coordinate 1.15y 3eSolutions Manual - Powered by CogneroPage 8

4-1 Graphing Equations in Slope-Intercept Form15y 3Plot the y-intercept. The slope is 0. Draw a line through the points with y-coordinate .Write an equation in slope-intercept form for each graph shown.Use the two points ( 3, 0) and (0, 2).Find the slope of the line containing the given points.The line crosses the y-axis at (0, 2), so the y-intercept is 2.Write the equation in slope-intercept form.eSolutions Manual - Powered by CogneroPage 9

4-1 Graphing Equations in Slope-Intercept FormWrite an equation in slope-intercept form for each graph shown.Use the two points ( 3, 0) and (0, 2).Find the slope of the line containing the given points.The line crosses the y-axis at (0, 2), so the y-intercept is 2.Write the equation in slope-intercept form.Use the two points (5, 0) and (0, 1).Find the slope of the line containing the given points.eSolutions Manual - Powered by CogneroThe line crosses the y-axis at (0, 1), so the y-intercept is 1.Page 10

4-1 Graphing Equations in Slope-Intercept FormUse the two points (5, 0) and (0, 1).Find the slope of the line containing the given points.The line crosses the y-axis at (0, 1), so the y-intercept is 1.Write the equation in slope-Use the two points ( 2, 0) and ( 2, 2).Find the slope of the line containing the given points.This means that the slope is undefined. Because the slope is undefined, it is not possible write and equation in slopePage 11intercept form.eSolutions Manual - Powered by Cognero

4-1 Graphing Equations in Slope-Intercept FormUse the two points ( 2, 0) and ( 2, 2).Find the slope of the line containing the given points.This means that the slope is undefined. Because the slope is undefined, it is not possible write and equation in slopeintercept form.Use the two points (2, 1) and (0, 3).Find the slope of the line containing the given points.The line crosses the y-axis at (0, 3), so the y-intercept is 3.Write the equation in slope-Page 12eSolutions Manual - Powered by CogneroRondell is buying a new stereo system for his car using a layaway plan.

4-1 Graphingin Slope-InterceptFormthe slope is undefined, it is not possible write and equation in slopeThis meansEquationsthat the slopeis undefined. Becauseintercept form.Use the two points (2, 1) and (0, 3).Find the slope of the line containing the given points.The line crosses the y-axis at (0, 3), so the y-intercept is 3.Write the equation in slope-Rondell is buying a new stereo system for his car using a layaway plan.Write an equation for the total amount S that he has paid after w weeks.Graph the equation.Find out how much Rondell will have paid after 8 weeks.a. The rate of 10 per week represents the rate or slope. The amount he has already saved is a constant 75, nomatter how much more he saves. So, the total amount saved for w weeks can be written as S 10w 75.b. To graph the equation, plot the y-intercept (0, 75). Then move up 10 units and right 1 unit. Plot the point. Draw aline through the two points.eSolutions Manual - Powered by CogneroPage 13

Write the equation in slope4-1 Graphing Equations in Slope-Intercept FormRondell is buying a new stereo system for his car using a layaway plan.Write an equation for the total amount S that he has paid after w weeks.Graph the equation.Find out how much Rondell will have paid after 8 weeks.a. The rate of 10 per week represents the rate or slope. The amount he has already saved is a constant 75, nomatter how much more he saves. So, the total amount saved for w weeks can be written as S 10w 75.b. To graph the equation, plot the y-intercept (0, 75). Then move up 10 units and right 1 unit. Plot the point. Draw aline through the two points.c. To find out how much Rondell has saved after 8 weeks, evaluate the equation from part a for w 8.So, Rondell has saved 155 after 8 weeks.Ana is driving from her home in Miami, Florida, to her grandmother s house in New YorkCity. On the first day, she will travel 240 miles to Orlando, Florida, to pick up her cousin. Then they will travel 350miles each day.Write an equation for the total number of miles m that Ana has traveled after d days.eSolutions Manual - Powered by CogneroGraph the equation.Page 14

4-1 Graphing Equations in Slope-Intercept FormSo, Rondell has saved 155 after 8 weeks.Ana is driving from her home in Miami, Florida, to her grandmother s house in New YorkCity. On the first day, she will travel 240 miles to Orlando, Florida, to pick up her cousin. Then they will travel 350miles each day.Write an equation for the total number of miles m that Ana has traveled after d days.Graph the equation.How long will the drive take if the total length of the trip is 1343 miles?a. The rate of 350 miles per day represents the rate or slope. The amount she has already driven is a constant 240miles, no matter how much more she drives. So, the total amount driven for d days can be written as m 350d 240.b. To graph the equation, plot the y-intercept (0, 240). Then move up 350 units and right 1 unit. Plot the point. Drawa line through the two points.c.So, it will take about 4 days.Write an equation of a line in slope-intercept form with the given slope and y-intercept. Then graph theequation.slope: 5, y-intercept: 8The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.eSolutions Manual - Powered by CogneroPlot the y-intercept (0, 8). The slope isPage 15. From (0, 8), move down 5 units and left 1 unit. (Note that we can

4-1 Graphing Equations in Slope-Intercept FormSo, it will take about 4 days.Write an equation of a line in slope-intercept form with the given slope and y-intercept. Then graph theequation.slope: 5, y-intercept: 8The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.Plot the y-intercept (0, 8). The slope is. From (0, 8), move down 5 units and left 1 unit. (Note that we canmove up and to the right, or down and to the left. Normally we would move up and to the right, but moving down andto the left keeps the point near the origin.)Plot the point. Draw a line through the two points.slope: 3, y-intercept: 10The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.Plot the y-intercept (0, 10). The slope is. From (0, 10), move up 3 units and right 1 unit. Plot the point.Draw a line through the two points.eSolutions Manual - Powered by CogneroPage 16

4-1 Graphing Equations in Slope-Intercept Formslope: 3, y-intercept: 10The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.Plot the y-intercept (0, 10). The slope is. From (0, 10), move up 3 units and right 1 unit. Plot the point.Draw a line through the two points.slope: 4, y-intercept: 6The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.Plot the y-intercept (0, 6). The slope is. From (0, 6), move down 4 units and right 1 unit. Plot the point.Draw a line through the two points.eSolutionsManual- Powered by 8Cogneroslope:2, y-intercept:Page 17

4-1 Graphing Equations in Slope-Intercept Formslope: 2, y-intercept: 8The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.Plot the y-intercept (0, 8). The slope is. From (0, 8), move down 2 units and right 1 unit. Plot the point.Draw a line through the two points.slope: 3, y-intercept: 4The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.Plot the y-intercept (0, 4). The slope is. From (0, 4), move up 3 units and right 1 unit. Plot the point.Draw a line through the two points.slope:4, y-intercept:6eSolutionsManual- Powered by CogneroThe slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.Page 18

4-1 Graphing Equations in Slope-Intercept Formslope: 4, y-intercept: 6The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.Plot the y-intercept (0, 6). The slope is. From (0, 6), move up 4 units and right 1 unit. Plot the point.Draw a line through the two points.Graph each equation.3x y 6Rewrite the equation in slope-intercept form.The slope is 3, and the y-intercept is 6. Plot the y-intercept (0, 6). The slope is. From (0, 6), move up 3 unitsand right 1 unit. Plot the point. Draw a line through the two points.eSolutions Manual - Powered by Cognero5x y 1Page 19

4-1 Graphing Equations in Slope-Intercept FormGraph each equation.3x y 6Rewrite the equation in slope-intercept form.The slope is 3, and the y-intercept is 6. Plot the y-intercept (0, 6). The slope is. From (0, 6), move up 3 unitsand right 1 unit. Plot the point. Draw a line through the two points.5x y 1Rewrite the equation in slope-intercept form.The slope is 5, and the y-intercept is 1. Plot the y-intercept (0, 1). The slope is. From (0, 1), move up 5 unitsand right 1 unit. Plot the point. Draw a line through the two points.eSolutions Manual - Powered by CogneroPage 20

4-1 Graphing Equations in Slope-Intercept Form5x y 1Rewrite the equation in slope-intercept form.The slope is 5, and the y-intercept is 1. Plot the y-intercept (0, 1). The slope is. From (0, 1), move up 5 unitsand right 1 unit. Plot the point. Draw a line through the two points.2x y 4Rewrite the equation in slope-intercept form.The slope is 2, and the y-intercept is 4. Plot the y-intercept (0, 4). The slope is. From (0, 4), move up 2units and right 1 unit. Plot the point. Draw a line through the two points.eSolutions Manual - Powered by Cogneroy 7x7Page 21

4-1 Graphing Equations in Slope-Intercept Form2x y 4Rewrite the equation in slope-intercept form.The slope is 2, and the y-intercept is 4. Plot the y-intercept (0, 4). The slope is. From (0, 4), move up 2units and right 1 unit. Plot the point. Draw a line through the two points.y 7x7The slope is 7, and the y-intercept is 7. Plot the y-intercept (0, 7). The slope is. From (0, 7), move up 7units and right 1 unit. Plot the point. Draw a line through the two points.5x 2y 8Rewrite the equation in slope-intercept form.eSolutions Manual - Powered by CogneroPage 22

4-1 Graphing Equations in Slope-Intercept Form5x 2y 8Rewrite the equation in slope-intercept form.The slope is, and the y-intercept is 4. Plot the y-intercept (0, 4). The slope is. From (0, 4), movedown 5 units and right 2 units. Plot the point. Draw a line through the two points.4x 9y 27Rewrite the equation in slope-intercept form.The slope is, and the y-intercept is 3. Plot the y-intercept (0, 3). The slope is. From (0, 3), movedown 4 units and right 9 units. Plot the point. Draw a line through the two points.eSolutions Manual - Powered by CogneroPage 23

4-1 Graphing Equations in Slope-Intercept Form4x 9y 27Rewrite the equation in slope-intercept form.The slope is, and the y-intercept is 3. Plot the y-intercept (0, 3). The slope is. From (0, 3), movedown 4 units and right 9 units. Plot the point. Draw a line through the two points.y 7Plot the y-intercept (0, 7). The slope is 0. Draw a line through the points with y-coordinate 7.Page 24eSolutions Manual - Powered by CogneroPlot the y-intercept. The slope is 0. Draw a line through the points with y-coordinate.

4-1 Graphing Equations in Slope-Intercept FormPlot the y-intercept. The slope is 0. Draw a line through the points with y-coordinate.21 7yPlot the y-intercept (0, 3). The slope is 0. Draw a line through the points with y-coordinate 3.3y6 2xRewrite the equation in slope-intercept form.eSolutions Manual - Powered by CogneroPage 25

4-1 Graphing Equations in Slope-Intercept Form3y6 2xRewrite the equation in slope-intercept form.The slope is, and the y-intercept is 2. Plot the y-intercept (0, 2). The slope is. From (0, 2), move up 2units and right 3 units. Plot the point. Draw a line through the two points.Write an equation in slope-intercept form for each graph shown.Use the two points (0, 4) and (5, 1).Find the slope of the line containing the given points.eSolutions Manual - Powered by CogneroThe line crosses the y-axis at (0, 4), so the y-intercept is 4.Page 26

4-1 Graphing Equations in Slope-Intercept FormWrite an equation in slope-intercept form for each graph shown.Use the two points (0, 4) and (5, 1).Find the slope of the line containing the given points.The line crosses the y-axis at (0, 4), so the y-intercept is 4.Write the equation in slope-Use the two points (0, 2) and (7, 6).Find the slope of the line containing the given points.eSolutions- PoweredCogneroThe Manualline crossesthebyy-axisatWrite the equation in slope-(0, 2), so the y-intercept is 2.Page 27

4-1 Graphing Equations in Slope-Intercept FormUse the two points (0, 2) and (7, 6).Find the slope of the line containing the given points.The line crosses the y-axis at (0, 2), so the y-intercept is 2.Write the equation in slope-Use the two points (0, 3) and (6, 0)Find the slope of the line containing the given points.eSolutions Manual - Powered by CogneroThe line crosses the y-axis at (0, 3), so the y-intercept is 3.Write the equation in slope-intercept form.Page 28

4-1 Graphing Equations in Slope-Intercept FormUse the two points (0, 3) and (6, 0)Find the slope of the line containing the given points.The line crosses the y-axis at (0, 3), so the y-intercept is 3.Write the equation in slope-intercept form.Use the two points (0, 4) and (8, 2).Find the slope of the line containing the given points.eSolutions Manual - Powered by CogneroThe line crosses the y-axis at (0, 4), so the y-intercept is 4.Page 29

4-1 Graphing Equations in Slope-Intercept FormUse the two points (0, 4) and (8, 2).Find the slope of the line containing the given points.The line crosses the y-axis at (0, 4), so the y-intercept is 4.Write the equation in slope-intercept form.In 1991, 1267 manatees inhabited Florida s waters. The manatee population has increased at a rateof 123 manatees per year.Write an equation for the manatee population, P, t years since 1991.Graph this equation.In 2006, the manatee was removed from Florida s endangered species list. What was the manatee population in2006?a. The rate of 123 manatees per year represents the rate or slope. The original population of manatees is a constant1267, no matter how many more manatees are born. So, the total population of manatees for t years since 1991 canbe written as P 1267 123t.b. To graph the equation, plot the y-intercept (0, 1267). Then move up 123 units and right 1 unit. Plot the point. Drawa line through the two points.eSolutions Manual - Powered by CogneroPage 30

4-1 Graphing Equations in Slope-Intercept FormIn 1991, 1267 manatees inhabited Florida s waters. The manatee population has increased at a rateof 123 manatees per year.Write an equation for the manatee population, P, t years since 1991.Graph this equation.In 2006, the manatee was removed from Florida s endangered species list. What was the manatee population in2006?a. The rate of 123 manatees per year represents the rate or slope. The original population of manatees is a constant1267, no matter how many more manatees are born. So, the total population of manatees for t years since 1991 canbe written as P 1267 123t.b. To graph the equation, plot the y-intercept (0, 1267). Then move up 123 units and right 1 unit. Plot the point. Drawa line through the two points.c. Fifteen years passed between 1991 and 2006, so substitute 15 for t and solve for P.So, the manatee population in 2006 was 3112.Write an equation of a line in slope-intercept form with the given slope and y-intercept.slope:, y-intercept: 3The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.eSolutions Manual - Powered by CogneroPage 31

4-1 Graphing Equations in Slope-Intercept FormSo, the manatee population in 2006 was 3112.Write an equation of a line in slope-intercept form with the given slope and y-intercept.slope:, y-intercept: 3The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.slope:, y-intercept: 5The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.slope:, y-intercept: 5The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.slope:, y-intercept: 2The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.slope: 1, y-intercept: 4The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.eSolutions Manual - Powered by CogneroPage 32

4-1 Graphing Equations in Slope-Intercept Formslope: 1, y-intercept: 4The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.slope: 0, y-intercept: 5The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.Graph each equation.The slope is , and the y-intercept is 2. Plot the y-intercept (0, 2). The slope is. From (0, 2), move up 3units and right 4 units. Plot the point. Draw a line through the two points.The slope is , and the y-intercept is 4. Plot the y-intercept (0, 4). The slope is. From (0, 4), move down 5units and left 3 units. (Note that we can move up and to the right, or down and to the left. Normally we would moveup and to the right, but moving down and to the left keeps the point near the origin.). Plot the point. Draw a linethrough the two points.eSolutions Manual - Powered by CogneroPage 33

4-1 Graphing Equations in Slope-Intercept FormThe slope is , and the y-intercept is 4. Plot the y-intercept (0, 4). The slope is. From (0, 4), move down 5units and left 3 units. (Note that we can move up and to the right, or down and to the left. Normally we would moveup and to the right, but moving down and to the left keeps the point near the origin.). Plot the point. Draw a linethrough the two points.3x 8y 32Rewrite the equation in slope-intercept form.The slope is, and the y-intercept is 4. Plot the y-intercept (0, 4). The slope is. From (0, 4), movedown 3 units and right 8 units. Plot the point. Draw a line through the two points.eSolutions Manual - Powered by CogneroPage 34

4-1 Graphing Equations in Slope-Intercept Form3x 8y 32Rewrite the equation in slope-intercept form.The slope is, and the y-intercept is 4. Plot the y-intercept (0, 4). The slope is. From (0, 4), movedown 3 units and right 8 units. Plot the point. Draw a line through the two points.5x6y 36Rewrite the equation in slope-intercept form.The slope is, and the y-intercept is 6. Plot the y-intercept (0, 6). The slope is. From (0, 6), move up5 units and right 6 units. Plot the point. Draw a line through the two points.eSolutions Manual - Powered by CogneroPage 35

4-1 Graphing Equations in Slope-Intercept Form5x6y 36Rewrite the equation in slope-intercept form.The slope is, and the y-intercept is 6. Plot the y-intercept (0, 6). The slope is. From (0, 6), move up5 units and right 6 units. Plot the point. Draw a line through the two points.Rewrite the equation in slope-intercept form.The slope is 8, and the y-intercept is -2. Plot the y-intercept (0, -2). The slope is. From (0, -2), move up 8units and right 1 unit. Plot the point. Draw a line through the two points.eSolutions Manual - Powered by CogneroPage 36

4-1 Graphing Equations in Slope-Intercept FormRewrite the equation in slope-intercept form.The slope is 8, and the y-intercept is -2. Plot the y-intercept (0, -2). The slope is. From (0, -2), move up 8units and right 1 unit. Plot the point. Draw a line through the two points.Rewrite the equation in slope-intercept form.The slope is 12, and the y-intercept is -8. Plot the y-intercept (0, -8). The slope is12 unitsandright 1 byunit.Plot theeSolutionsManual- PoweredCogneropoint. Draw a line through the two points. From (0, -8), move upPage 37

4-1 Graphing Equations in Slope-Intercept FormRewrite the equation in slope-intercept form.The slope is 12, and the y-intercept is -8. Plot the y-intercept (0, -8). The slope is. From (0, -8), move up12 units and right 1 unit. Plot the point. Draw a line through the two points.A rental company charges 8 per hour for a mountain bike plus a 5 fee for a helmet.Write an equation in slope-intercept form for the total rental cost C for a helmet and a bicycle for t hours.Graph the equation.What would the cost be for two helmets and 2 bicycles for 8 hours?a. The rate of 8 per hour represents the rate or slope. The amount of 5 for a helmet is constant, no matter howmany hours you use the bike. So, the total rental fee for t hours can be written as C 8t 5.b. To graph the equation, plot the y-intercept (0, 5). Then move up 8 units and right 1 unit. Plot the point. Draw a linethrough the two points.eSolutions Manual - Powered by CogneroPage 38

4-1 Graphing Equations in Slope-Intercept FormA rental company charges 8 per hour for a mountain bike plus a 5 fee for a helmet.Write an equation in slope-intercept form for the total rental cost C for a helmet and a bicycle for t hours.Graph the equation.What would the cost be for two helmets and 2 bicycles for 8 hours?a. The rate of 8 per hour represents the rate or slope. The amount of 5 for a helmet is constant, no matter howmany hours you use the bike. So, the total rental fee for t hours can be written as C 8t 5.b. To graph the equation, plot the y-intercept (0, 5). Then move up 8 units and right 1 unit. Plot the point. Draw a linethrough the two points.c.The cost for one bike and one helmet for 8 hours is 69. So, the cost for two bikes and two helmets for 8 hours is 138.CCSS REASONING For Illinois residents, the average tuition at Chicago State University is 157 per credit hour.Fees cost 218 per year.a. Write an equation in slope-intercept form for the tuition T for c credit hours.b. Find the cost for a student who is taking 32 credit hours.a. The independent variable in this case is c, the number of credit hours, and the dependent variable is the tuitioncosts T. Tuition costs increase by 157 for each credit hour, and there is a flat fee of 218, so the slope is 157 andthe T-intercept is 218.T 157c 218eSolutions Manual - Powered by Cognerob. For a student taking 32 credit hours, the cost of tuition is T 157(32) 218 5242Write an equation of a line in slope-intercept form with the given slope and y-intercept.Page 39

The cost forone bike andone helmet for 8 Formhours is 69. So, the cost for two bikes and two helmets for 8 hours is4-1 GraphingEquationsin Slope-Intercept 138.CCSS REASONING For Illinois residents, the average tuition at Chicago State University is 157 per credit hour.Fees cost 218 per year.a. Write an equation in slope-intercept form for the tuition T for c credit hours.b. Find the cost for a student who is taking 32 credit hours.a. The independent variable in this case is c, the number of credit hours, and the dependent variable is the tuitioncosts T. Tuition costs increase by 157 for each credit hour, and there is a flat fee of 218, so the slope is 157 andthe T-intercept is 218.T 157c 218b. For a student taking 32 credit hours, the cost of tuition is T 157(32) 218 5242Write an equation of a line in slope-intercept form with the given slope and y-intercept.slope: 1, y-intercept: 0The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.slope: 0.5, y-intercept: 7.5The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.slope: 0, y-intercept: 7The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.slope: 1.5, y-intercept: 0.25The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.eSolutions Manual - Powered by CogneroWrite an equation of a horizontal line that crosses the y-axis at (0, 5).Page 40

4-1 Graphing Equations in Slope-Intercept Formslope: 1.5, y-intercept: 0.25The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept.Write an equation of a horizontal line that crosses the y-axis at (0, 5).A horizontal line has the same y-values. So, the slope is 0. The y-intercept is at 5, so the equation would be y 0x5 or y 5.Write an equation of a line that passes through the origin and has a slope of 3.So, the equation of the line would be y 3x.minute.Draw a graph that represents this drop from 0 to 8 minutes.Write an equation that describes this situation. Describe the meaning of each variable as well as the slope and yintercept.a. To graph the equation, plot the y-intercept (0, 80). Then move down 3 units and right 1 unit. Plot the point. Draw aline through the two points.oob. The rate of 3 per minute represents the rate or slope. The amount of 80 starting temperature is constant, nomatter how many minutes the temperature drops. So, the total temperature drop for x minutes can be written asPagey 413x 80. y represents the temperature and x represents the elapsed time in minutes. The slope represents they-intercept represents the temperature when it started to drop.eSolutions Manual - Powered by Cognero

4-1 Graphing Equations in Slope-Intercept FormSo, the equation of the line would be y 3x.minute.Draw

Write an equation of a line in slope-intercept form with the given slope and y-intercept.Then graph the equation. slope: 2, y-intercept: 4 62/87,21 The slope-intercept form of a line is y mx b, where m is the slope, and b is the y-intercept. Pl

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