Exercises: Parallel and Perpendicular Lines

Convert to slope-intercept form, or use the shortcut for standard form, before comparing slopes.

Grade 10·17 problems·~30 min·Digital SAT Math·topic·sat-alg-lin2-parperp

Work through problems with immediate feedback

Fluency Practice

Extract each slope first, then compare.

Lines $p$ and $q$ have slopes $-\frac{3}{7}$ and $\frac{7}{3}$ . How are they related?

Parallel, because the same digits appear in both slopes.

Neither, because the slopes are neither equal nor opposite in sign.

Perpendicular

The same line, since one slope is the reciprocal of the other.