# How do you find the x and y intercept for 2x+6y=-12?

Apr 1, 2018

x- intercept $\left(- 6 , 0\right)$
y-intercept $\left(0 , - 2\right)$

#### Explanation:

Given -

$2 x + 6 y = - 12$

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

$2 x + 6 \left(0\right) = - 12$

$2 x = - 12$

$x = \frac{- 12}{2} = - 6$

x- intercept $\left(- 6 , 0\right)$

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

$2 \left(0\right) + 6 y = - 12$

$6 y = - 12$

$y = \frac{- 12}{6} = - 2$

y-intercept $\left(0 , - 2\right)$