# How do you graph the line x+y=-4?

May 30, 2017

$\text{see explanation}$

#### Explanation:

$\text{one way is to find the intercepts, where the graph crosses}$
$\text{the x and y axes}$

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

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

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

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

$\text{plot these 2 points and draw a straight line through them}$
graph{-x-4 [-10, 10, -5, 5]}