Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Find the slope of the line passing through the given points.

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

See Problem 2.

Graph each line.

16. y = x + 2 y equals . x plus 2
17. y = 3 x + 4 y equals . 3 x plus 4
18. y = 1 2 x − 1 y equals . 1 half , x minus 1
19. y = − 5 3 x + 2 y equals , minus , 5 thirds . x plus 2
20. y − 3 = 1 3 ( x − 3 ) y minus 3 equals . 1 third , open x minus 3 close
21. y − 1 = − 3 ( x + 2 ) y minus 1 equals . negative 3 open x plus 2 close
22. y + 4 = ( x − 5 y plus . 4 equals open x minus 5  )
23. y + 1 = − 2 3 ( x + 4 ) y plus , 1 equals . negative , 2 thirds . open x plus 4 close

See Problems 3 and 4.

Use the given information to write an equation of each line.

24. slope 3, y-intercept 6
25. slope 1 2 , 1 half , comma  y-intercept − 5 negative 5
26. slope 2 3 , 2 thirds , comma  passes through ( − 2 , − 6 ) open negative 2 comma negative 6 close
27. slope − 3 , negative 3 comma  passes through ( 4 , − 1 ) open 4 comma negative 1 close
28. 
29. 
30. passes through (0, 5) and (5, 8)
31. passes through (6, 2) and (2, 4)
32. passes through ( − 4 , 4 ) open negative 4 comma 4 close  and (2, 10)
33. passes through ( − 1 , 0 ) open negative 1 comma 0 close  and ( − 3 , − 1 ) open negative 3 comma negative 1 close

See Problem 5.

Write the equation of the horizontal and vertical lines though the given point.

34. (4, 7)
35. ( 3 , − 2 ) open 3 comma negative 2 close
36. ( 0 , − 1 ) open 0 comma negative 1 close
37. (6, 4)

Table of Contents