Average Rate Of Change Calculator

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

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: 2026-06-10 · Reviewed by Nham Vu