How do you find the slope of a line parallel to the line passing through points (-4,0) and (1,-5)?

Jan 7, 2017

See full explanation below

Explanation:

A line parallel to the line contain the two points in the problem will have the same slopes.

Using the two points given we can find the 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 two points from the problem into the formula gives:

$m = \frac{\textcolor{red}{- 5} - \textcolor{b l u e}{0}}{\textcolor{red}{1} - \textcolor{b l u e}{- 4}}$

$m = \frac{\textcolor{red}{- 5}}{\textcolor{red}{1} + \textcolor{b l u e}{4}}$

$m = \frac{\textcolor{red}{- 5}}{5}$

$m = - 1$

The slope of a parallel line is $- 1$