Average Rate Of Change Calculator

Enter two points on a function to instantly find the average rate of change (slope of the secant line).

Use the Average Rate Of Change Calculator

Two Points on the Function

Enter the coordinates of both points.

1 First Point (x1, y1)
2 Second Point (x2, y2)

Try an Example

Enter two points and click Calculate to see the result.

Summary

Enter two points on a function to instantly find the average rate of change (slope of the secant line).

How it works

  1. Enter the x-coordinate and y-coordinate (or f(x) value) for the first point.
  2. Enter the x-coordinate and y-coordinate (or f(x) value) for the second point.
  3. The calculator applies the formula: AROC = (y2 - y1) / (x2 - x1).
  4. Results include the numeric value, interpreted sign (increasing/decreasing), and the step-by-step working.
  5. Use the "Try an Example" buttons to explore common textbook problems instantly.

Use cases

  • Verify homework answers for precalculus or calculus assignments.
  • Find the slope of a secant line on any curve between two x-values.
  • Understand how quickly a quantity (speed, temperature, profit) is changing over an interval.
  • Compare average rates of change across different intervals to analyze function behavior.
  • Check work before moving on to instantaneous rate of change (derivatives).
  • Study for standardized tests (SAT, ACT, AP Calculus) that include rate-of-change questions.

Frequently Asked Questions

Last updated: 2026-09-22 · Reviewed by Nham Vu