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

Mar 12, 2017

see explanation.

#### Explanation:

To find the intercepts.

• " let y = 0, in the equation, for x-intercept"

• " let x = 0, in the equation, for y-intercept"

$y = 0 \to 2 x + 0 = 8 \Rightarrow x = 4 \leftarrow \textcolor{red}{\text{ x-intercept}}$

$x = 0 \to 0 + y = 8 \Rightarrow y = 8 \leftarrow \textcolor{red}{\text{y-intercept}}$

Plot the points (4 ,0) and (0 ,8) draw a straight line through them and you have the graph of 2x + y = 8
graph{-2x+8 [-20.27, 20.28, -10.13, 10.13]}