# How do you find the slope and y-intercept for the given equation y+x=1?

Jan 5, 2017

To find the slope and y-intercept of the equation we need to convert the equation to slope-intercept form. See full explanation below.

#### Explanation:

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 color(blue)(b is the y-intercept value.

Therefore, we need to solve the equation given in the problem for $y$:

$y + x = 1$

$y + x - x = - x + 1$

$y + 0 = - x + 1$

$y = - x + 1$

which is also the same as:

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

Remember from above, 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.

So for our equation:

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

The y-intercept or $\textcolor{b l u e}{b = 1}$ or (0, $\textcolor{b l u e}{1}$)