What is the slope of the line passing through the following points:  (-7,-2), (-3, 8) ?

Mar 26, 2018

See a solution process below:

Explanation:

$m = \frac{\textcolor{red}{{y}_{2}} - \textcolor{b l u e}{{y}_{1}}}{\textcolor{red}{{x}_{2}} - \textcolor{b l u e}{{x}_{1}}}$

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

Substituting the values from the points in the problem gives:

$m = \frac{\textcolor{red}{8} - \textcolor{b l u e}{- 2}}{\textcolor{red}{- 3} - \textcolor{b l u e}{- 7}} = \frac{\textcolor{red}{8} + \textcolor{b l u e}{2}}{\textcolor{red}{- 3} + \textcolor{b l u e}{7}} = \frac{10}{4} = \frac{5}{2}$