# How do you calculate the slope of (0,0) and (-4,2)?

Jul 21, 2015

The slope $m$ is $- \frac{1}{2}$.

#### Explanation:

The equation for determining the slope of a line is $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$, where $m$ is the slope, and $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$are two points on the line.

Let $\left({x}_{1} , {y}_{1}\right) = \left(0 , 0\right)$ and $\left({x}_{2} , {y}_{2}\right) = \left(- 4 , 2\right)$

$m = \frac{2 - 0}{- 4 - 0}$ =

$m = \frac{2}{-} 4$ =

$m = - \frac{1}{2}$