# How do you find the intercepts for #3x + 9y = 18?

Jul 3, 2015

To find the x-intercept, substitute 0 for y, then solve for x.
To find the y-intercept, substitute 0 for x, then solve for y.

#### Explanation:

$3 x + 9 y = 18$

X-Intercept

Substitute $0$ for $y$.

$3 x + 9 \left(0\right) = 18$

$3 x = 18$

Divide both sides by $3$.

$x = 6$

Y-Intercept

Substitute $0$ for $x$.

$3 \left(0\right) + 9 y = 18$

$9 y = 18$

Divide both sides by $9$.

$y = 2$

graph{3x+9y=18 [-10, 10, -5, 5]}