Answer
$y = -1/2* x + 5/2$
Work Step by Step
perpendicular to $y + 1 = 2*(x-3)$, passes through (5, 0)
$y + 1 = 2*(x-3)$
$y + 1 = 2x -6$
$y + 1-1 = 2x -6-1$
$y = 2x -7$
perpendicular slopes: $2 * m = -1$
$2 * m * 1/2 = -1 * 1/2$
$m = -1/2$
$y = mx+b$
$y = -1/2* x + b$
$0 = -1/2* 5 + b$
$0 = -5/2 + b$
$0 + 5/2 = -5/2 + b + 5/2$
$5/2 = b$
$y = -1/2* x + 5/2$