Algebra 1 Chapter 5 Review - LCPS



Algebra 1 Chapter 5 Review

Lesson 5.1+5.2 Write the equation of a line in slope-intercept form given the following information.

Y=mx+b

1. (2, 3), m = 2 2. (6, 2), m = -½

3. (-2, -1) (2, -6) 4. (0, 5) (2, 11)

5. f(0) = 3, f(4) = 19 6. m = 3, b = -2

Lesson 5.4: Write the equation of a line in standard form given the following information.

ax + by = c

(a, b and c are INTEGERS!)

7. (-5, -4), m = [pic] 8. (3, -2), m = 0

9. (4, 9) (4, -1) 10. (-2, 4) (4, 1)

Lesson 5.5: Write the Equation of a line that is (a) Parallel and (b) Perpendicular to the given line that goes through the given points.

Remember:

• Parallel Lines have the ______________ slope!

• Perpendicular Lines have ___________________ slopes!

11. (2, -3), y = -2x + 3

a) Parallel: (b) Perpendicular:

12. (0, 3), y = ½x-4

a) Parallel: (b) Perpendicular:

Homework: Review for Test 5.1 – 5.5

Write the equation of a line given the following information.

1. slope = [pic], y-intercept = 5 2. slope = -3, y-intercept = -10

3. (-3, -1), m = 4 4. (8, -4), m = -3

5. (4, 7) (5, 1) 6. (9, -8) (-3, -2)

Write the equation in Standard Form.

7. y = x + 3 8. 2y = ½x – 4

9. y = -4x – 1 10. y = [pic]x - [pic]

Are the two lines parallel? Why or why not? (Justify your answer.)

11. y = x + 3; y = 6 + x 12. 3y = x – 9; 3y + x – 3 = 0

Write the slope of a line that would be parallel to a line with the given equation. (You only need to write the slope!)

13. y = 3x – 4 14. y = [pic]x – 4

Write the slope of a line that would be perpendicular to a line with the given equation. (You only need to write the slope!)

15. y = [pic] 16. y = 3x + 3

17. Write an equation of a line through (-1, 3) that is parallel to y = 2x + 2.

18. Write an equation of a line through (4, 5) that is perpendicular to y = 3x - 11.

19. Write the equation of a line with an undefined slope and goes through the point (3,6)

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