Answer
$y=-\frac{1}{2}x+\frac{13}{2}$
Work Step by Step
$y=2x-8$
$m=-\frac{1}{2}$
The slope of a perpendicular line is the opposite reciprocal of the original slope.
$5=-\frac{1}{2}(3)+b$
$5=-\frac{3}{2}+b$
$\frac{13}{2}=b$
$y=-\frac{1}{2}x+\frac{13}{2}$