# What is the slope of the line passing through the following points:  (-3/4 , 2/3) , (-3/4, 5/3) ?

Dec 13, 2015

"undefined"

#### Explanation:

A line passing through $\left(\textcolor{red}{- \frac{3}{4}} , \frac{2}{3}\right)$ and $\left(\textcolor{red}{- \frac{3}{4}} , \frac{5}{3}\right)$
is a vertical line.

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

If there is no change in $x$
the slope would require division by $0$
and is therefore undefined.