# Question #03596

Dec 5, 2017

Undefined.

#### Explanation:

From the above graph:
If you were to take 2 arbitrary points on the line and determine the slope, the following would be the result;

$S l o p e \left(m\right) = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

Taking coordinates (1,1) and (1,2), we get:

$m = \frac{2 - 1}{1 - 1} = \frac{1}{0}$
Since, anything divided by zero equals Undefined.

Therefore, the Slope(m) of the line is Undefined.

Dec 7, 2017

Undefined.

#### Explanation:

Even though it may seem irrelevant to the question, I will explain why the slop is undefined.

Here is one of the many reasons.
If $\frac{1}{0}$ is infinity, then we can say that $\frac{2}{0}$ is also infinity.(By the way, infinity is only a quantity, not a number)

By our rule that if $\frac{a}{b} = \frac{c}{b}$ then $a = c$, it results this:$1 = 2$ which we know is not true.

Therefore, the line is undefined.