# How do you graph x+4y=4 using intercepts?

Sep 2, 2016

Plot the intercept points: $\left(0 , 1\right)$ and $\left(4 , 0\right)$,
then draw a line through those points.

#### Explanation:

The y-intercept is the value of $y$ when $x = 0$
For $x = 4 y = 4$ this means that the y-intercept is $1$,
giving the intercept point $\left(x , y\right) = \left(0 , 1\right)$.

Similarly, the x-intercept is the value of $x$ when $y = 0$
For $x = 4 y = 4$ this means that the x-intercept is $4$,
giving the intercept point $\left(x , y\right) = \left(4 , 0\right)$.

Plotting these two points and drawing a line through them gives: