Practice Parallel and Perpendicular in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Parallel lines never intersect and have matching direction; perpendicular lines intersect at right angles.

Parallel tracks run side by side; perpendicular streets form a plus sign.

easy

Find the equation of the line through (3, -1) that is parallel to y = 2x + 5.

medium

Find the equation of the line through (4, 1) that is perpendicular to 3x - y = 6.

easy

Are the lines y = -4x + 1 and y = \frac{1}{4}x - 3 parallel, perpendicular, or neither?

medium

Line \ell passes through (0,3) and (6,0). Find the equation of the line perpendicular to \ell passing through the origin.