Answer
The equation is $y=\frac{-1}{2}x+\frac{17}{2}$.
Work Step by Step
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.
$y-y_1=m(x-x_1)$
$y-8=\frac{-1}{2}(x-1)$
$y-8=\frac{-1}{2}x+\frac{1}{2}$
$y=\frac{-1}{2}x+\frac{17}{2}$
