✓ Effortless Math · Free Tool

Average Rate of Change Calculator

Find the average rate of change of a function over an interval — the slope of the secant line — with a graph and step-by-step working.

(f(b) − f(a)) / (b − a)
f(x) on [ a , b ]

Use x as the variable. The average rate of change is the slope of the secant line from a to b.

Results

Average rate of change
—
—
f(a)
—
f(b)
—
Δy = f(b) − f(a)
—
Δx = b − a
—

Graph — function and secant line

f(x)secant lineendpoints

Step-by-step