# How do you find the slope and intercept of y + x = 0 ?

Mar 31, 2017

See the entire solution process below:

#### Explanation:

Solve for $y$ to transform the equation to slope-intercept form. The slope-intercept form of a linear equation is: $y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

Where $\textcolor{red}{m}$ is the slope and $\textcolor{b l u e}{b}$ is the y-intercept value.

$y + x = 0$

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

y + 0 = -color(red)(x)#

$y = \textcolor{red}{- 1} x + \textcolor{b l u e}{0}$

Therefore:

The slope is: $\textcolor{red}{m = - 1}$

The y-ntercept is: $\textcolor{b l u e}{b = 0}$ or $\left(0 , 0\right)$