# What is the slope of the line passing through the following points:  (-4, -3); (-3,-6)?

Dec 31, 2015

The slope
$m = - \frac{3}{1}$

#### Explanation:

The points are

(-4,-3) = color(blue)(x_1,y_1

(-3,-6) = color(blue)(x_2,y_2

The slope is calculated using formula

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

$m = \frac{- 6 - \left(- 3\right)}{- 3 - \left(- 4\right)}$

$m = \frac{- 6 + 3}{- 3 + 4}$

$m = \frac{- 3}{1}$