What is the slope of the line passing through the following points: (-3,4),(7,-16) ?

Feb 20, 2017

The slope of the line pass through the two points is $m = - 2$

Explanation:

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:

$m = \frac{\textcolor{red}{- 16} - \textcolor{b l u e}{4}}{\textcolor{red}{7} - \textcolor{b l u e}{- 3}} = \frac{\textcolor{red}{- 16} - \textcolor{b l u e}{4}}{\textcolor{red}{7} + \textcolor{b l u e}{3}} = - \frac{20}{10} = - 2$