Answer
$y-3=-2(x+2)$
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 $x_1$, $3$ for $y_1$, and $-2$ for $m$ to get the equation:
$y-3=-2(x-(-2))$
We simplify: $y-3=-2(x+2)$
