# How do you find the slope given (4,-4) and (4,2)?

Jul 19, 2018

The slope is undefined.

#### Explanation:

To find the slope given two points, we use the formula $\text{rise"/"run}$, or $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$.

Plug in the given points into the formula:
$\frac{2 - \left(- 4\right)}{4 - 4} = \frac{6}{0} = \text{undefined}$

The slope is undefined , meaning that it is a vertical line.

Hope this helps!

Jul 19, 2018

Undefined slope

#### Explanation:

To find the slope for two points, we can use the formula

$\frac{\Delta y}{\Delta x}$

Where the Greek letter Delta ($\Delta$) is shorthand for "change in".

We just see how much our $y$ changes, and divide by how much our $x$ changes.

We go from $y = - 4$ to $y = 2$, which represents a $\Delta y$ of $6$.

We stay at $x = 4$, so we can say $\Delta x = 0$. Plugging these into our slope formula, we get

$\frac{6}{0}$

Notice, we are dividing by zero, which means we have a vertical line, which has an undefined slope.

Hope this helps!