# How do you find the slope and y-intercept of the graph of 3x-2y+8=0?

Jul 11, 2016

Slope $= \frac{3}{2}$
y- intercept $= 4$

#### Explanation:

Given -

$3 x - 2 y + 8 = 0$

This equation is in the form of

$a x + b y + c = 0$
Then its slope is defined as $= \frac{- a}{b}$

In our case, slope is,

$m = \frac{- a}{b} = \frac{- 3}{-} 2 = \frac{3}{2}$

Find intercept-

At x=0; 3(0)-2y+8=0

$- 2 y = - 8$
$y = \frac{- 8}{- 2} = 4$