# How do you find the slope of a line parallel to the line that passes through points: (4,0) and (3.8,2)?

May 1, 2017

See the solution process below:

#### Explanation:

The slope of parallel lines are the same. Therefore, when we find the slope of the line in the problem we will also have the slope of every line parallel to it.

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:

$m = \frac{\textcolor{red}{2} - \textcolor{b l u e}{0}}{\textcolor{red}{3.8} - \textcolor{b l u e}{4}} = \frac{2}{-} 0.2 = - 10$

The slope of the line in the problem and of every line parallel to the line in the problem is"

$m = 10$