For #1-5, Begin by Using Point-Slope Form

Linear Functions WS 2-3, 2-4

For #1-5, begin by using point-slope form. Write the answer in slope-intercept form.

Find the equations of the lines containing the given points with the indicated slopes.

1 1. (-2, -6); m = 4 2. (-8, 6); m = 2

Find an equation of a line containing each of the following pairs of points.

3. (8,0) and (0, -5) 4. (-2, 3) and (4, 7) 5. (-3, -5) and (-1, -7)

6. Write an equation of the line containing (3,2) and parallel to x + 3y = -4. Put the answer in standard form.

7. Graph 2x –3y = -6 using intercepts. 8. Graph x = 3

9. Find the slope of the line 2y – 12 = 0.

10. Find an equation in standard form of the line through (-3, 2) and parallel to the line 2x – y = 1. 11. Find an equation in standard form of the line through (5, 1) and perpendicular to the line x = 4.

Find an equation for the line described.

12. Passing through the points (1, 4) and (-3, 4).

13. Passing through the points (-2, 3) and (-2, 6).

14. Passing through the origin and with undefined slope.

15. Passing through the origin and with 0 slope.

16. Having y-intercept 6 and parallel to the x-axis.

17. Having x-intercept -4 and parallel to the y-axis.

Find an equation for the line described. Put the answer in standard form.

18. Having x-intercept 4 and y-intercept 3.

19. Having x-intercept -3 and y-intercept -1.

Find an equation for the line described. Start with point-slope form, then put the answer in slope-intercept form.

20. Through P(-2, 1) and parallel to the line containing (1, 4) and 2, 3) .

21. Through Q(-3, 2) and parallel to the line containing (2, 3) and (1, -2). ANSWERS

1 5 2 13 1. y = 4x + 2 2. y = x+ 10 3. y = x- 5 4. y = x + 2 8 3 3

5. y = - x – 8 6. x + 3y = 9 7. 8.

9. 0 10. 2x – y = - 8 11. y = 1

12. y = 4 13. x = -2 14. x = 0

15. y = 0 16. y = 6 17. x = -4

18. 3x + 4y = 12 19. x + 3y = -3 20. y = -x – 1 21. y = 5x + 17

ANSWERS

1 5 2 13 1. y = 4x + 2 2. y = x+ 10 3. y = x- 5 4. y = x + 2 8 3 3

5. y = - x – 8 6. x + 3y = 9 7. 8.

9. 0 10. y = 2x + 8 11. y = 1

12. y = 4 13. x = -2 14. x = 0

15. y = 0 16. y = 6 17. x = -4

18. 3x + 4y = 12 19. x + 3y = -3 20. y = -x – 1 21. y = 5x + 17

ANSWERS

1 5 2 13 1. y = 4x + 2 2. y = x+ 10 3. y = x- 5 4. y = x + 2 8 3 3

5. y = - x – 8 6. x + 3y = 9 7. 8.

9. 0 10. y = 2x + 8 11. y = 1

12. y = 4 13. x = -2 14. x = 0

15. y = 0 16. y = 6 17. x = -4

18. 3x + 4y = 12 19. x + 3y = -3 20. y = -x – 1 21. y = 5x + 17