Parallel & Perpendicular Practice
An endless supply of never-repeating relationship problems: identify parallels and perpendiculars by slope, compute opposite reciprocals, and write equations through points.
1 Practice
Type your answer and press Check answer (or Enter). A wrong answer earns a hint first; a second miss walks you through the full solution.
How to enter answers
- Identify: type
parallel,perpendicular, orneither. - Slopes: fractions like
-1/4; typeundefinedfor a vertical line. - Equations: type
y=3x+5ory=-1/2x+4— spaces are fine.
2 What you’ll practice
Every problem is generated fresh from templates across several question types — a problem never repeats until its whole pool is used up.
Identify
Equal slopes or opposite reciprocals — spot it on sight.
New slopes
Parallel keeps the slope; perpendicular flips and negates.
Through a point
Take the new slope, plug the point into y = mx + b.
3 Watch out for these
The mistakes students make most often on these problems.
Wrong: ⊥ to y = 2x + 1 has slope 2. Right: −1/2.
Wrong: ⊥ to 2/3 is 3/2. Right: −3/2 — flip and change sign.
Wrong: ⊥ to y = 3 has slope −1/0. Right: x = a (vertical).