# What is the slope of the line passing through the following points:  (-5, 9), (4,11)?

Dec 23, 2015

The slope is

color(blue)(m=(2)/(9)

#### Explanation:

The points are:

(-5,9) = color(blue)((x_1,y_1)

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

The slope is found using formula

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

$m = \frac{11 - 9}{4 - \left(- 5\right)}$

$m = \frac{2}{4 + 5}$

$m = \frac{2}{9}$