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

Apr 12, 2015

Given any two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$
the slope of the line going through those points (and of any line parallel to that line) is given by
$m = \frac{\Delta y}{\Delta x} = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

For the given points
$\left({x}_{1} , {y}_{1}\right) = \left(4 , 0\right)$
and
$\left({x}_{2} , {y}_{2}\right) = \left(3.8 , 2\right)$

this becomes
$m = \frac{2 - 0}{3.8 - 4}$

$= \frac{2}{- 0.2}$

$= - 10$