Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Find the slope and y-intercept of the graph of each equation.

7. y = 3 x + 1 y equals 3 x plus 1
8. y = − x + 4 y equals negative x plus 4
9. y = 2 x − 5 y equals 2 x minus 5
10. y = − 3 x + 2 y equals negative 3 x plus 2
11. y = 5 x − 3 y equals 5 x minus 3
12. y = − 6 x y equals negative 6 x
13. y = 4 y equals 4
14. y = − 0.2 x + 3 y equals negative 0.2 x plus 3
15. y = 1 4 x − 1 3 y equals , 1 fourth , x minus , 1 third

See Problem 2.

Write an equation in slope-intercept form of the line with the given slope m and y-intercept b.

16. m = 1 , b = − 1 m equals 1 comma b equals negative 1
17. m = 3 , b = 2 m equals 3 comma b equals 2
18. m = 1 2 , b = − 1 2 m equals , 1 half , comma b equals negative , 1 half
19. m = 0.7 , b = − 2 m equals 0.7 comma b equals negative 2
20. m = − 0.5 , b = 1.5 m equals negative 0.5 comma b equals 1.5
21. m = − 2 , b = 8 5 m equals negative 2 comma b equals , 8 fifths

See Problem 3.

Write an equation in slope-intercept form of each line.

See Problem 4.

Write an equation in slope-intercept form of the line that passes through the given points.

28. (0, 3) and (2, 5)
29. ( − 2 , 4 )  and  ( 3 , − 1 ) open negative 2 comma 4 close , and , open 3 comma negative 1 close
30. ( − 3 , 3 )  and  ( 1 , 2 ) open negative 3 comma 3 close , and , open 1 comma 2 close
31. ( − 2 , − 1 )  and  ( 4 , 2 ) open negative 2 comma negative 1 close , and , open 4 comma 2 close
32. ( − 7 , − 3 )  and  ( − 12 , 5 ) open negative 7 comma negative 3 close , and , open negative 12 comma 5 close
33. ( − 6 , 5 )  and  ( 1 , 0 ) open negative 6 comma 5 close , and , open 1 comma 0 close
34. ( 3 , 0.5 )  and  ( 10 , − 0.2 ) open 3 comma 0.5 close , and , open 10 comma negative 0.2 close
35. ( − 2 , 6.9 )  and  ( − 4 , 4.6 ) open negative 2 comma 6.9 close , and , open negative 4 comma 4.6 close
36. ( 1.5 , − 2.4 )  and  ( − 0.5 , 1.2 ) open 1.5 comma negative 2.4 close , and , open negative 0.5 comma 1.2 close

See Problem 5.

Graph each equation.

37. y = x + 5 y equals x plus 5
38. y = 3 x + 4 y equals 3 x plus 4
39. y = − 2 x + 1 y equals negative 2 x plus 1
40. y = − 4 x − 1 y equals negative 4 x minus 1
41. y = 2 x − 4 y equals 2 x minus 4
42. y = 6 x − 3 y equals 6 x minus 3
43. y = − 3 x + 3 y equals negative 3 x plus 3
44. y = 7 x y equals 7 x
45. y = 5 x + 1 y equals 5 x plus 1
46. y = − 3 x − 1 y equals negative 3 x minus 1
47. y = − x + 10 y equals negative x plus 10
48. y = 15 x + 5 y equals 15 x plus 5

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