# What is the slope of x+y=0?

Apr 27, 2018

Slope $= - 1$

#### Explanation:

Well, we want the equation in terms of $y$ first so we can do that by subtracting both sides by $x$

$y + x \textcolor{red}{- x} = 0 \textcolor{red}{- x}$

$y = - x$

This is simply a line that crosses the origin and is decreasing.

If we recall, $y = m x + b$, $m$ is the slope of the line which is the coefficient (or number) in front of the variable.

From our equation, the slope, $m$ is $- 1$

Note: $- x$ is the same as saying $- 1 x$