SAT Math / Linear Relationships

Slope and Rate of Change

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. Explain what a slope means in a word problem, with its unitsDescribe the slope in words as how much y changes each time x goes up by one, using the units the problem gives.
  2. Tell whether a line rises or falls from the sign of its slopeCheck the slope’s sign: positive means the line rises from left to right, and negative means it falls.
  3. Find the slope between two points without a sign errorSubtract the y-values and the x-values in the same order, then divide the difference in y by the difference in x.
  4. Find a slope in Desmos when the coordinates are messyType the two points in Desmos, then type the difference of their y-values over the difference of their x-values on a new line.

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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