How do you find the slope and y-intercept of the line 2x-3y=18?

Jan 25, 2017

Slope $m = \frac{2}{3}$
Y intercept $\left(0 , - 6\right)$

Explanation:

given -

$2 x - 3 y = 18$

The slope of the equation of the form $a x + b y = c$ is -

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

To find the y-intercept put $x = 0$

$2 \left(0\right) - 3 y = 18$
$- 3 y = 18$
$y = \frac{18}{- 3} = - 6$

Slope $m = \frac{2}{3}$
Y intercept $\left(0 , - 6\right)$
graph{2x-3y=18 [-6.58, 13.42, -7.28, 2.72]}