# What is the slope of the line passing through  (8,-6); (3,0) ?

Dec 21, 2015

The slope:
color(blue)(m=(-6)/5

#### Explanation:

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

(3,0) = color(blue)(x_2,y_2

The slope is calculated by:

$m = \frac{\textcolor{b l u e}{{y}_{2} - {y}_{1}}}{{x}_{2} - {x}_{1}}$

$m = \frac{\textcolor{b l u e}{0 - \left(- 6\right)}}{3 - 8}$

$m = \frac{\textcolor{b l u e}{\left(0 + 6\right)}}{- 5}$

$m = \frac{6}{- 5}$

color(blue)(m=(-6)/5