Answer
$y-4 = -5/8*(x+3)$
$y = -5/8*x + 17/8$
Work Step by Step
given: (5, -1) and (-3, 4)
$y-y_{1} = m*(x-x_{1})$
$m = (-1-4)/(5--3)$
$m = -5/8$
$y-4 = -5/8*(x+3)$
$y-4 = -5/8*(x+3)$
$y-4 = -5/8*x-15/8$
$y-4+4 = -5/8*x-15/8+4$
$y = -5/8*x + 17/8$