Calculate, estimate, and interpret average rate of change over an interval.
Calculate average rate of change from two points
Problem
Calculate the average rate of change between \((2,5)\) and \((6,17)\).
Big Picture
What this problem is really about
Average rate of change is the slope of the secant line through the two given points. We’ll compute the output change and input change using the same subtraction order, then divide rise by run. The sign describes the overall direction, while the quotient tells how many output units change on average for each one-unit increase in input.
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