# What is the slope of the line passing through (-2,-6); (4,7)?

Jan 7, 2016

color(blue)(m=13/6

#### Explanation:

The points are
(-2,-6) = color(blue)(x_1,y_1

(4,7) = color(blue)(x_2,y_2

The slope is calculated using formula
$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

$m = \frac{7 - \left(- 6\right)}{4 - \left(- 2\right)}$

$m = \frac{7 + 6}{4 + 2}$

color(blue)(m=13/6