SAT Math / Linear Relationships

Parallel and Perpendicular Lines

Part of the full libraryOpens January 2, 2027 · $97 for a year
What’s included
slopeFor a nonvertical line, slope is the change in y divided by the change in x: y’s change per unit of x. A vertical line has undefined slope.

You’ll leave with these skills

  1. Tell which slope a parallel line or a perpendicular line needsDistinct nonvertical parallel lines have equal slopes. Nonzero slopes of perpendicular lines are negative reciprocals. Two distinct vertical lines are parallel, and a horizontal line is perpendicular to a vertical line.
  2. Find a perpendicular line’s slope from the slope you are givenFor a nonzero slope, take its negative reciprocal. A horizontal line instead needs a vertical perpendicular line, whose slope is undefined; a vertical line needs a horizontal one, whose slope is zero.
  3. Check in Desmos that two lines are perpendicularGraph both lines in Desmos and look for a right angle where they cross.

This lesson is part of the full library

207 lessons that teach every skill the SAT tests
  • 71Math
  • 40Reading
  • 24Grammar
  • 10 full-length practice tests to build test-day stamina and confidence
  • A Desmos simulator to solve math questions faster
  • A step-by-step guide to every practice test question
  • The Bluebook Simulator, so test day feels familiar
  • A drawing for every key term, so new ideas make sense at a glance

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