What is the average rate of change of $g(x)=2x-3$ between the points (-2,-7) and (3,3)?

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Answer 1 · 2017-08-19T03:24:05

It is the same as the slope of the line through those points.

Using the definition
$(Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1) = (3-(-7))/(3-(-2)) = 10/5 = 2$

Using prior knowledge

The two points line on a line that has slope $2$ so the slope of the line through the two points is $2$

What is the average rate of change of g(x)=2x-3g(x)=2x-3 between the points (-2,-7) and (3,3)?