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

May 25, 2017

Slope is $\frac{2}{3}$ , y-intercept at $\left(0 , 4\right)$ , x-intercept at $\left(- 6 , 0\right)$

#### Explanation:

$2 x - 3 y = - 12 \mathmr{and} 3 y = 2 x + 12 \mathmr{and} y = \frac{2}{3} x + 4$

Comparing with standard equation $y = m x + c$ we get

slope as $m = \frac{2}{3}$ , y-intercept as $c = 4$ i.e at $\left(0 , 4\right)$

x-intercept can be found by putting $y = 0$ in the equation as

$2 x = - 12 \mathmr{and} x = - 6$ i.e at $\left(- 6 , 0\right)$
Slope is $\frac{2}{3}$ , y-intercept at $\left(0 , 4\right)$ , x-intercept at $\left(- 6 , 0\right)$
graph{2x-3y = -12 [-10, 10, -5, 5]} [Ans]