# What is the slope of the line passing through the following points:  (-7,-2), (5, 9) ?

Apr 6, 2018

The slope is $\frac{\Delta y}{\Delta x} = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$.

#### Explanation:

Choose which point will be the first and which the second.
Let's choose: ${P}_{1} = \left(- 7 , - 2\right)$ and ${P}_{2} = \left(5 , 9\right)$

The slope is:
$\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{9 - \left(- 2\right)}{5 - \left(- 7\right)} = \frac{9 + 2}{5 + 7} = \frac{11}{12}$

If you choose ${P}_{1} = \left(5 , 9\right)$ and ${P}_{2} = \left(- 7 , - 2\right)$ the slope don't change.