Parallel and Perpendicular Lines Worksheet

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)