# How do you find the x and y intercepts for 3x + 6y = 18?

Jan 4, 2016

Set $x = 0$ and solve to find $y$ intercept $y = 3$
Set $y = 0$ and solve to find $x$ intercept $x = 6$

#### Explanation:

The $y$ axis is where $x = 0$, so to find the $y$ intercept, let $x = 0$ and solve:

$0 + 6 y = 18$

Dividing both sides by $6$ we find $y = 3$

The $x$ axis is where $y = 0$, so to find the $x$ intercept, let $y = 0$ and solve:

$3 x + 0 = 18$

Dividing both sides by $3$ we find $x = 6$