# How do you find the slope for x=8?

Apr 7, 2016

The slope of $x = 8$ is "undefined"

#### Explanation:

$x = 8$ is the equation of a vertical line.

Slope is defined as $\left(\text{change in " y)/("corresponding change in } x\right)$

But the value of $x$ doesn't change i.e., the change in $x$ is always $0$;
so the definition of slope would require division by $0$ (which is not defined).