Average Rate of Change Calculator
Calculate the slope (average rate of change) between two points on a function. Understand the change in y relative to the change in x with step-by-step explanations.
Step 1: First Point (x₁, y₁)
Coordinates of point A
Enter the x and y values of the first point on the function. For a function f(x), y₁ = f(x₁).
Step 2: Second Point (x₂, y₂)
Average rate of change formula
Average rate of change = (y₂ – y₁) / (x₂ – x₁) = Δy / Δx. It represents the slope of the secant line through the two points.
Rate of Change Result
Summary
Steps
Graph
Average Rate of Change (Slope)
2.00
Δy / Δx = 8 / 4
Δx (Change in x)
4.00
Δy (Change in y)
8.00
Point A (x₁, y₁)
(2, 4)
Point B (x₂, y₂)
(6, 12)
Step-by-Step Calculation
| Step | Operation | Result |
|---|
Interpretation
On average, y increases by 2 units per 1 unit increase in x between these points.
Secant Line Graph
The blue line connects the two points, showing the average rate of change (secant slope).
Need Help with Calculus or Algebra?
Connect with expert math tutors for personalized lessons, step-by-step explanations, and exam preparation.
Find a Tutor