# How do you find the slope of x = 5?

May 24, 2017

The equation, $x = C$, (where C is any real number) describes a vertical line and vertical lines have an undefined slope.

May 24, 2017

$\text{slope is undefined}$

#### Explanation:

$\text{ the line with equation " x=5" is a vertical line}$
$\text{parallel to the y-axis and passing through all points}$
$\text{in the plane with an x-coordinate of 5}$

$\text{since it is parallel to the y-axis the slope is "color(blue)"undefined}$

May 26, 2017

the $s l o p e$ of a linear $e q u a t i o n$ can be expressed

• $\textcolor{red}{\tan} \textcolor{p u r p \le}{\theta}$ color(pink)(where $\theta$ is the angle made in the anticlock wise direction with the x axis)

here $\theta$ is $90$ $\mathrm{de} g r e e s$
now, of course
$\textcolor{b l u e}{\tan} \textcolor{red}{90}$ is undefined
the slope is undefined