Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Find the slope of the line through each pair of points.

8. (1, 6) and ( 8 , − 1 ) open 8 comma negative 1 close
9. ( − 3 , 9 ) negative 3 comma 9 close  and (0, 3)
10. (0, 0) and (2, 6)
11. ( − 4 , − 3 negative 4 comma negative 3 ) and (7, 1)
12. ( − 2 , − 1 negative 2 comma negative 1 ) and ( 8 , − 3 ) open 8 comma negative 3 close
13. (1, 2) and (2, 3)
14. (2, 7) and ( − 3 , 11 ) negative 3 comma 11 close
15. ( − 3 , 5 ) negative 3 comma 5 close  and (4, 5)
16. ( − 5 , − 7 negative 5 comma negative 7 ) and (0, 10)

See Problem 2.

Write an equation for each line.

17. m = 3 m equals 3  and the y-intercept is (0, 2).
18. 
19. m = 5 6 m equals , 5 sixths  and the y-intercept is (0, 12).
20. m = 0 m equals 0  and the y-intercept is ( 0 , − 2 ) . open 0 comma negative 2 close .
21. m = − 5 m equals negative 5  and the y-intercept is ( 0 , − 7 ) . open 0 comma negative 7 close .

See Problem 3.

Write each equation in slope-intercept form. Then find the slope and y-intercept of each line.

22. 5 x + y = 4 5 x plus y equals 4
23. − 3 x + 2 y = 7 negative 3 x plus 2 y equals 7
24. − 1 2 x − y = 3 4 negative , 1 half , x minus y equals , 3 fourths
25. 8 x + 6 y = 5 8 x plus 6 y equals 5
26. 9 x − 2 y = 10 9 x minus 2 y equals 10
27. y = 7 y equals 7

See Problem 4.

Graph each equation.

28. y = 2 x y equals 2 x
29. y = − 3 x − 1 y equals negative 3 x minus 1
30. y = 3 x − 2 y equals 3 x minus 2
31. y = − 4 x + 5 y equals negative 4 x plus 5
32. 5 x − 2 y = − 4 5 x minus 2 y equals negative 4
33. − 2 x + 5 y = − 10 negative 2 x plus 5 y equals negative 10
34. y − 3 = − 2 x y minus , 3 equals negative 2 x
35. y + 4 = − 3 x y plus 4 equals negative 3 x
36. − y + 5 = − 2 x negative y plus 5 equals negative 2 x

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