## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$$y+2=-1(x-5)$$
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: $$y+2=-1(x-5)$$