Precalculus Examples

Find the Average Rate of Change (-2,4) to (1,-5)
to
Step 1
To find the average rate of change, find the slope.
Step 2
Slope is equal to the change in over the change in , or rise over run.
Step 3
The change in is equal to the difference in x-coordinates (also called run), and the change in is equal to the difference in y-coordinates (also called rise).
Step 4
Substitute in the values of and into the equation to find the slope.
Step 5
Simplify.
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Step 5.1
Simplify the numerator.
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Step 5.1.1
Multiply by .
Step 5.1.2
Subtract from .
Step 5.2
Simplify the denominator.
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Step 5.2.1
Multiply by .
Step 5.2.2
Add and .
Step 5.3
Divide by .
Step 6