Calculate the average rate of change of a function between X1 and X2 using f(X1), f(X2), ΔX, and ΔY from your entered equation with steps.
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Rate of Change Formula
The following formula is used to calculate a rate of change.
y₂ = y coordinate of point 2
y₁ = y coordinate of point 1
x₂ = x coordinate of point 2
x₁ = x coordinate of point 1
To calculate the rate of change divide the change in y by the change in x position.
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
A rate of change is just as it sounds, it’s the amount something is changing per unit of time.
Yes, a slope is another word for the rate of change of y with respect to x.
