How to find the average rate of change between two points using a secant line: Step 1: Draw a secant line connecting the two points. Step 2: Use the coordinates of the two points to calculate the slope. Equation of slope: Slope =

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Find the average rate of change for f ( x) = x 2 − 3 x between x = 1 and x = 6 . Step 1 Calculate the change in function value. f ( 6) − f ( 1) = ( 6 2 − 3 ⋅ 6) − ( 1 2 − 3 ⋅ 1) = 18 − ( − 2) = 20 Step 2

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Average rate of change is just another way of saying slope. For a given function, you can take the x-values and use them to calculate the y-values, then use the slope formula: