# What is the slope of the line x=-2?

Jun 27, 2017

It is a curve parallel to Y-axis. Its slope is $\infty$

#### Explanation:

Given -

$x = - 2$

It is a curve parallel to Y-axis. Its slope is $\infty$

Jun 27, 2017

The slope is undefined

#### Explanation:

Let's graph this line:

So, slope is change in $y$ over change in $x$, or rise over run. So, if the graph goes up $1$ unit, it moves over $0$ units. That's the same for if $y$ is $60$ or $.778$. $x$ is always $0$

So, no matter what, the slope is $\frac{y}{0}$, and since we cannot divide by $0$, we call the slope for this (and any other vertical lines) is undefined