Algebra 1: Common Core (15th Edition)

The equation is $y=\frac{-1}{2}x+\frac{17}{2}$.
The slope is $2$. The opposite reciprocal of $2$ is $\frac{-1}{2}$. So, the perpendicular line has a slope of $\frac{-1}{2}$. Use point-slope form to write an equation of the perpendicular line. $y-y_1=m(x-x_1)$ $y-8=\frac{-1}{2}(x-1)$ $y-8=\frac{-1}{2}x+\frac{1}{2}$ $y=\frac{-1}{2}x+\frac{17}{2}$