# How to find the x and y-intercept given x+3y = -6?

May 2, 2015

The y-intercept is $- 2$, and the point is $\left(0 , - 2\right)$. The x-intercept is $- 6$ and the point is $\left(- 6 , 0\right)$

To find the y-intercept, set x equal to zero.

$x + 3 y = - 6$

$0 + 3 y = - 6$

$3 y = - 6$

$y = - \frac{6}{3}$

$y = - 2$

To find the x-intercept, set y equal to zero.

$x + 3 y = - 6$

$x + 3 \cdot 0 = - 6$

$x = - 6$

graph{x+3y=-6 [-10, 10, -5, 5]}