Answer
$$ y= -2x-1
.$$
Work Step by Step
We are told that the line has slope $-2$ and goes through the point $(-2,3)$. The point-slope form of a line is
$$y-y_1=m(x-x_1)$$
We substitute the given values to obtain:
$$y-3=-2(x+2)\Longrightarrow y=-2x-4+3=-2x-1
.$$
