# What is the slope of the line passing through  (2,9) ;(-11,7) ?

Apr 14, 2016

The slope is

$m = \frac{2}{13}$

#### 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 $\left(2 , 9\right) \mathmr{and} \left(- 11 , 7\right)$
${x}_{1} = 2$
${x}_{2} = - 11$
${y}_{1} = 9$
${y}_{2} = 7$

$m = \frac{7 - 9}{- 11 - 2}$

$m = \frac{- 2}{-} 13$

The slope is

$m = \frac{2}{13}$