Parallel and Perpendicular Lines Worksheet

Write the equation in slope intercept form of the line parallel and line perpendicular to given line through given point. Parallel Perpendicular

1) y = 4x + 7 (─2, ─9) ____________________ __________________

2) 2x ─ 5y = 10 (3, ─7) _____________________ __________________

3) 3x + 4y = 16 (12, ─5) _____________________ ___________________

Write the equation of the perpendicular bisector of .

4) A (3, ─6) B (7, 2) 5) A (2, 5) B (6, ─7)

_________________________ ______________________________

6) A (8, 1) B (0, ─1) 7) A (7, 9) B (1, 5)

_________________________ _______________________________

State if the lines are Parallel, Perpendicular, or Oblique

8) 6x ─ 12y = 24 9) 4x + y = 5 10) ─2x + 7y = 14

4x + 2y = 8 3x +12y = ─6 4x = 14y

Solve the systems of equations. State whether the lines are intersecting, parallel, or coincident.

11) 3x + 2y = 19 12) 3x ─ 2y = 2 13) 4x ─ 3y = 12 4x ─ 5y = 10 6x ─ 4y = 4 ─12x + 9y = 10

State whether the 3 points form a right triangle. If so, which angle is the right angle?

14) A(─5, 3) B(0, ─2) C(5, 3) 15) A(─2, 4) B(2, 1) C(1, 8)