# How do you graph x+2y=8 using intercepts?

Jul 6, 2017

The x-intercept is $\left(8 , 0\right)$.

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

#### Explanation:

Graph:

$x + 2 y = 8$

The x-intercept is the value of $x$ when $y = 0$. The y-intercept is the value of $y$ when $x = 0$.

To get the x-intercept, substitute $0$ for $y$.

$x + \left(2 \cdot 0\right) = 8$

$x = 8$

The x-intercept is $\left(8 , 0\right)$.

To get the y-intercept, substitute $0$ for $x$.

$0 + 2 y = 8$

$2 y = 8$

Divide by $2$.

$y = 4$

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

You now have two points on the line. You can plot them and then draw a straight line through the points.

graph{x+2y=8 [-12.55, 12.76, -5.42, 7.24]}