# What is the slope of the line passing through the following points:  (7, 2) , (-10,-5) ?

Jan 6, 2016

$s l o p e = \frac{7}{17}$

#### Explanation:

Slope of a line passing through two given points is given by
$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

Where $m$ is the slope, ${x}_{1} \mathmr{and} {y}_{1}$ are the coordinates of one point and ${x}_{2} \mathmr{and} {y}_{2}$ are the coordinates of another points.

Here let $\left({x}_{1} , {y}_{1}\right)$ represent $\left(7 , 2\right)$ and $\left({x}_{2} , {y}_{2}\right)$ represent $\left(- 10 , - 5\right)$
$\implies m = \frac{- 5 - 2}{- 10 - 7} = - \frac{7}{-} 17 = \frac{7}{17}$

$\implies m = \frac{7}{17}$