# How do you find the slope given (7,-2) (7,9)?

Jul 4, 2017

$\frac{\pi}{2}$

#### Explanation:

$x = 7$ , for all $y \in \mathbb{R} \implies$ vertical line

Jul 4, 2017

The slope of the line is $11$.

#### Explanation:

Slope is the change in y over the change in x.

$\frac{\Delta y}{\Delta x}$ OR $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$ where the x and y values correspond with the coordinates.

Since (7,9) is the second coordinate, we use that as ${x}_{2}$ and ${y}_{2}$ and the other as ${x}_{1}$ and ${y}_{1}$ although both can be used interchangeably, as long as they are in the correct pairs.

$\frac{9 - \left(- 2\right)}{7 - 7}$

$s l o p e = \frac{11}{1}$

The slope of the line is $11$.