# How do you graph the line containing the given pair of points and find the slope (1, 5), (-6, -5)?

Aug 26, 2017

See a solution process below:

#### Explanation:

To graph the line going through the two points, we plot the two points and then draw a line through the points:

The slope is $m = \frac{10}{7}$

We can validate this using the formula for slope. The slope can be found by using the formula: $m = \frac{\textcolor{red}{{y}_{2}} - \textcolor{b l u e}{{y}_{1}}}{\textcolor{red}{{x}_{2}} - \textcolor{b l u e}{{x}_{1}}}$

Where $m$ is the slope and ($\textcolor{b l u e}{{x}_{1} , {y}_{1}}$) and ($\textcolor{red}{{x}_{2} , {y}_{2}}$) are the two points on the line.

Substituting the values from the points in the problem gives:

$m = \frac{\textcolor{red}{- 5} - \textcolor{b l u e}{5}}{\textcolor{red}{- 6} - \textcolor{b l u e}{1}} = \frac{- 10}{- 7} = \frac{10}{7}$