# What is the slope of the line passing through the following points:  (-6, 7), (-7,-2)) ?

Dec 17, 2015

Slope $= 9$

#### Explanation:

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

In the general case, given two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$, the slope can be determined as:
$\textcolor{w h i t e}{\text{XXX}} m = \frac{{y}_{1} - {y}_{2}}{{x}_{1} - {x}_{2}}$

For the given example we have
$\textcolor{w h i t e}{\text{XXX}} \left({x}_{1} , {y}_{1}\right) = \left(- 6 , 7\right)$
$\textcolor{w h i t e}{\text{XXX}} \left({x}_{2} , {y}_{2}\right) = \left(- 7 , - 2\right)$
and therefore
$\textcolor{w h i t e}{\text{XXX}} m = \frac{7 - \left(- 2\right)}{- 6 - \left(- 7\right)} = \frac{9}{1} = 9$