Answer
$-5$
Work Step by Step
The general formula for the average rate of change from $p$ to $q$ is: $avg=\dfrac{f(q)-f(p)}{q-p}$
We use this formula to calculate the average rate of change between the given points:
$\dfrac{f(3)-f(2)}{(3-2)}=\dfrac{(2-(5)(3))-(2-(5)(2)}{1}\\=\dfrac{-13-(-8)}{1}\\=\dfrac{-5}{1} \\=-5$
