Answer
$$ y+2=-1(x-5)$$
Work Step by Step
The given equation can be simplified to:
$$ y=x-5$$
Thus, the slope is $1$, so a perpendicular line will have a slope of $-1$.
We know that point slope form is expressed as $y-y_1=m(x-x_1)$, where $(x_1,y_1)$ is a point on the line, and m is the slope of the line. Using this, we find that the equation of the line is:
$$ y+2=-1(x-5)$$
