# How do you graph 3x+y=12 using intercepts?

Oct 17, 2016

Graph the x intercept $\left(4 , 0\right)$ and the y intercept $\left(0 , 12\right)$ and connect them with a line.

#### Explanation:

$3 x + y = 12$

To find the $x$ intercept, set $y = 0$.

$3 x + 0 = 12$

$\frac{3 x}{3} = \frac{12}{3}$

$x = 4$

The x intercept is $\left(4 , 0\right)$.

To find the $y$ intercept, set $x = 0$.

$3 \left(0\right) + y = 12$

$0 + y = 12$

$y = 12$

The $x$ intercept is $\left(0 , 12\right)$.

To graph this line using the intercepts, first graph the two points $\left(4 , 0\right)$ and $\left(0 , 12\right)$. Then connect the two points with a line.