Answer
$y+2=-\frac{1}{2}(x-2)$
Work Step by Step
The point-slope form of an equation of a non-vertical line with slope $m$ and through point $(x_1,y_1)$ is $y-y_1=m(x-x_1)$.
We plug in $2$ for $x_1$, $-2$ for $y_1$, and $-\frac{1}{2}$ for $m$ to get the equation:
$y-(-2)=-\frac{1}{2}(x-2)$
We simplify: $y+2=-\frac{1}{2}(x-2)$
