# How do you find the slope and y-intercept for the graph of 3x+2y=12?

Feb 19, 2017

See below

#### Explanation:

$3 x + 2 y = 12$

$y = \frac{12 - 3 x}{2}$

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

So slope $= - \frac{3}{2}$

• intercept

y - intercept: set $x = 0 \implies y = 6$

graph{3x + 2y = 12 [-18.02, 18.02, -9.01, 9.01]}