# How do you graph x+y=0 by plotting points?

May 9, 2017

see explanation.

#### Explanation:

$x + y = 0 \text{ is the equation " y=-x" in disguise}$

$\text{this tells us that every y-coordinate is the negative of the}$
$\text{corresponding x-coordinate}$

$\Rightarrow x = 2 \to y = - 2 \Rightarrow \left(2 , - 2\right)$

$\Rightarrow x = 1 \to y = - 1 \Rightarrow \left(1 , - 1\right)$

$\Rightarrow x = 0 \to y = 0 \Rightarrow \left(0 , 0\right)$

$\Rightarrow x = - 1 \to y = 1 \Rightarrow \left(- 1 , 1\right)$

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