# How do you find the slope and intercept of y=-2?

Mar 27, 2018

See a solution process below:

#### Explanation:

One method is to write this in 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.

$y = - 2$ can be rewritten as:

$y = \textcolor{red}{0} x - \textcolor{b l u e}{2}$

$y = \textcolor{red}{0} x + \textcolor{b l u e}{- 2}$

Therefore:

• The slope is: $\textcolor{red}{m = 0}$

• The $y$-intercept is: $\textcolor{b l u e}{- 2}$ or $\left(0 , \textcolor{b l u e}{- 2}\right)$

Another method is to know this form of equation represents a horizontal line where for each and every value of $x$; $y$ has the same values, in this case $- 2$

By definition, the slope of a horizontal line is $\textcolor{red}{0}$

And, if $y$ has the same value for each and every value of $x$, the $y$-intercept is $\left(0 , \textcolor{b l u e}{2}\right)$