Answer
$\frac{1}{4}$
Work Step by Step
We need to find the slope of the tangent line at $(-2,2)$.
We can do this by taking two points - fr example $(-2,2)$ and $(2,3)$ -, through which the aforesaid line passes through.
The slope $m$ is:
$m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{3-2}{2-(-2)} = \dfrac{1}{4}$.
