# Rate of Change Calculator

Cuemath's Rate of Change Calculator is an online tool that helps to calculate the change in slope for given coordinates.

## What Is the Rate of Change Calculator?

Cuemath's online calculator helps you to calculate the rate of change in a few seconds.

## How to Use the Rate of Change Calculator?

Please follow the steps below to find the rate of change:

**Step 1:**Enter the coordinates of x and y in the given input box, i.e., (x_{1},y_{1}) and (x_{2},y_{2}).**Step 2:**Click on the**"Calculate"**button to find the rate of change.**Step 3:**Click on the**"Reset"**button to find the rate of change for different coordinate values of x and y.

## How to Find the Rate of Change?

Rate of change is defined as the ratio between a change in one variable relative to a corresponding change in another. Rate of change can be either positive or negative. Slope of the line is defined as the change in the ratio of y-coordinates and x-coordinates.

Standard form for the rate of change: rate of change (or slope) = change in y variable/change in x variable = (y_{2 }- y_{1}) / (x_{2} - x_{1})

**Solved Example:**

Find the rate of change or slope if the coordinates are (5,2) and (7,8).

**Solution:**

Rate of change or slope = change in y/change in x

= (y_{2}- y_{1}) / (x_{2} - x_{1})

= (8 - 2) / (7 - 5)

=6/2

=3

Similarly, you can try the calculator to find the rate of change for the following:

a) (5,2) (6,2) b) (-5,2) (6,5) c) (6,-5) (7,-8)