# How do you calculate the slope of (0,0) and (3,-3)?

Sep 17, 2015

The slope is $- 1$.

#### Explanation:

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

$\left({x}_{1} , {y}_{1}\right) = \left(0 , 0\right)$

$\left({x}_{2} , {y}_{2}\right) = \left(3 , - 3\right)$

Substitute the values for each point and solve for $m$.

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{- 3 - 0}{3 - 0} =$

$m = \frac{- 3}{3} = - 1$

The slope is $- 1$.