Enter the location of two coordinate points along a line into the calculator to determine the rate of change of that line.

## Rate of Change Formula

The following formula is used to calculate a rate of change.

Rate of Change = (y₂ – y₁) / (x₂ – x₁)

y₂ = y coordinate of point 2

y₁ = y coordinate of point 1

x₂ = x coordinate of point 2

x₁ = x coordinate of point 1

## Rate of Change Definition

The rate of change of a line is often referred to as the slope, or rise over run. It’s a measure of how quickly a line is changing in the y-direction with every step in the x-direction. This can also be done using a similar formula, but substituting x and y in the formula. This results in the rate of change of x with respect to y, or run over rise.

## How to calculate a rate of change?

How to calculate a rate of change?

**First, determine the coordinate points of point 1.**For this example we will say the first point is (1,2).

**Next, determine the coordinate points of point 2.**For this example, we will say the second point is (5,10).

**Finally, calculate the rate of change.**Using the formula we have the rate of change to be (10-2/5-1) = 8/4 = 2/1.

## FAQ

**What is a rate of change?**

A rate of change is just as it sounds, it’s the amount something is changing per unit of time.

**Is a rate of change a slope?**

Yes, a slope is another word for the rate of change of y with respect to x.