# How do you find the slope given x+y=4?

Feb 7, 2017

See the entire solution process below:

#### Explanation:

We need to transform this equation to slope-intercept form by solving for $y$. 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.

$- \textcolor{red}{x} + x + y = - \textcolor{red}{x} + 4$

$0 + y = - x + 4$

$y = \textcolor{red}{- 1} x + \textcolor{b l u e}{4}$

The slope of this equation is $\textcolor{red}{m = - 1}$