# Chapter 3 - Section 3.5 - Equations of Lines - Exercise Set: 51

$y=-\frac{3}{2}x-6$

#### 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. $-3=-\frac{3}{2}(-2)+b$ $-3=3+b$ $-6=b$ $y=-\frac{3}{2}x-6$

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