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 =
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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