Answer
$-1$
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 - for example $(2,2)$ and $(0,4)$ -, through which the aforesaid line passes through.
The slope of the tangent s:
$m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{4-2}{0-2}=-1$.