# How do you find the slope of a line passing through the points G(-5,3) and H(10,-6)?

Jan 28, 2016

$\frac{- 3}{5}$

#### Explanation:

we know,
$m = \frac{{y}_{1} - {y}_{2}}{{x}_{1} - {x}_{2}}$
${x}_{1} = - 5 , {x}_{2} = 10 , {y}_{1} = 3 , {y}_{2} = - 6$
so,
$m = \frac{3 - \left(- 6\right)}{- 5 - 10}$
$= \frac{3 + 6}{- 15}$
$= \frac{- 9}{15}$
$\frac{- 3}{5}$