8th Grade · Functions

Slope

8.EE.B.6 · 8.F.A.3 · 8.SP.A.3

Definition

The constant rate of change of a linear function, equal to rise over run. It tells how much the output changes for each unit increase in the input.

Examples

  • In f(x) = 2x + 1, the slope is 2 — output rises 2 each time input rises 1.
  • Slope = rise ÷ run.

Key rule

Slope is the constant rate of change for a linear function.

Memory hook

How steep the line is.