# How do you find the slope of the line through (0, -2) and (6, -4)?

Sep 21, 2015

The line through $\left(0 , - 2\right)$ and $\left(6 , - 4\right)$ has a slope of $- \frac{1}{3}$

#### Explanation:

Given two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ the slope of the line through those points is given by the formula:

$m = \frac{\Delta y}{\Delta x} = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

For the given points this becomes:

$m = \frac{- 4 - \left(- 2\right)}{6 - 0} = \frac{- 2}{6} = - \frac{1}{3}$