Answer
$y=-\frac{3}{2}x-6$
Work Step by Step
$3x+2y=5$
$2y=-3x+5$
$y=-\frac{3}{2}x+\frac{5}{2}$
$m=-\frac{3}{2}$
Now, find the y-intercept by substituting the slope and an ordered pair into y=mx+b.
$-3=-\frac{3}{2}(-2)+b$
$-3=3+b$
$-6=b$
$y=-\frac{3}{2}x-6$
