# How do you use the intercepts to graph the equation: 4x+3y=12?

Nov 17, 2016

Find the $x$ and $y$ intercepts, plot them on the $x y$ coordinate grid, and connect them with a line.

#### Explanation:

Graph $4 x + 3 y = 12$ using intercepts.

To find the $x$ intercept, set $y = \textcolor{red}{0}$ and solve for $x$.

$4 x + 3 \left(\textcolor{red}{0}\right) = 12$

$4 x = 12$

$\frac{4 x}{4} = \frac{12}{4}$

$x = 3$

The $x$ intercept is $\left(3 , 0\right)$.

To find the $y$ intercept, set $x = \textcolor{b l u e}{0}$ and solve for $y$.

$4 \left(\textcolor{b l u e}{0}\right) + 3 y = 12$

$3 y = 12$

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

$y = 4$

The $y$ intercept is #(0,4).

Next, plot each of these points and connect them with a line.