Day 10

Linear Unit

Review Assignment

EMAT6690

by Chris Reid

Use this review assignment as a practice test. Copy the problem onto you paper and show all your work.

Use a table of values to graph each equation.

1. y = -4x + 5

2. y = -1/2 x - 4

3. 3x + 2y = 8

Find the x-intercept of the graph of each equation.

4. -2x + 4y = 16

5. 3x - y = -5

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

6. 4x - 3y = -6

7. -5x - 4y = 10

Find the x-intercept and the y-intercept of each equation. Graph each equation using the intercepts.

8. 3x - 4y = 16

9. y = -1/2 x + 4

10. y = 3x - 12

Find the slope of the line passing through each pair of points using the equation for slope.

11. (2, -3) and (-3, -3)

12. (3, -5) and (3, 6)

13. (2, 4) and (-2, 4)

Graph each equation using the slope and the y-intercept.

14. y = -x + 3

15. y = -1/2 x -2

16. y = 3/4 x + 1

17. y = 5x - 2

Determine if the following pairs of lines are parallel, perpendicular, or neither.

18. 5x - y = 4 and 5x + y = 4

19. 3x + 2y = 3 and 3x + 2y = -1

20. x + 4y = -2 and -4x + y = -3

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

21. The slope is 3; the y-intercept is -2.

22. The slope is -2/3; the y-intercept is 5.

Write the equation of each line shown in the graph in slope-intercept form.

23. 24. Write an equation of the line that passes through the point and has the given slope. Write the equation in slope-intercept form.

25. (2, 5), m = - 2/3

26. (-3, 1), m = 3

27. (4, 5), m = 0

Write an equation of the line passing through each pair of points. Write the equation in slope-intercept form.

28. (-1.5, 4) and (2.5, 5)

29. (3, -6) and (4, -6)

30. (-8, -4) and (12, 23)