# How do you find the slope given (-2, 7) and (-5, -7)?

Mar 7, 2016

$m = - \frac{14}{-} 3 = \frac{14}{3}$

#### Explanation:

$\Delta x = {x}_{2} - {x}_{1} \text{ } \Delta x = - 5 + 2 = - 3$
$\Delta y = {y}_{2} - {y}_{1} = - 7 - 7 = - 14$
${y}_{2} - {y}_{1} = m \left({x}_{2} - {x}_{1}\right)$
$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{\Delta x}{\Delta y}$

$m = - \frac{14}{-} 3 = \frac{14}{3}$