Answer
$y=-5/6x-5/2$
See graph.
Work Step by Step
A line in point-slope form has the equation:
$y-y_1=m(x-x_1)$
We have the point $(3,-5)$ and slope $-5/6$:
$y--5=-5/6(x-3)$
$y+5=-5/6(x-3)$
$y=-5/6(x-3)-5$
$y=-5/6x+(5/6)*3-5$
$y=-5/6x+(5/2)-5$
$y=-5/6x-5/2$