# How do you find the slope given (0,0) and (-3, -2)?

May 12, 2016

The slope is

$m = \frac{2}{3}$

#### Explanation:

The formula for the slope of a line based upon two coordinate points is

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

For the coordinate points $\left(0 , 0\right) \mathmr{and} \left(- 3 , - 2\right)$
${x}_{1} = 0$
${x}_{2} = - 3$
${y}_{1} = 0$
${y}_{2} = - 2$

$m = \frac{- 2 - 0}{- 3 - 0}$

$m = \frac{- 2}{-} 3$

The slope is

$m = \frac{2}{3}$