# What is the slope of the line passing through the following points:  (2,6) ; (5,2)?

Apr 12, 2016

The slope $= - \frac{4}{3}$

#### Explanation:

The coordinates are:
$\left(2 , 6\right) = \textcolor{b l u e}{{x}_{1} , {y}_{1}}$

$\left(5 , 2\right) = \textcolor{b l u e}{{x}_{2} , {y}_{2}}$

The slope is calculated using formula:

Slope = color(blue)((y_2- y_1) / ( x_ 2 -x _1)

$= \frac{2 - 6}{5 - 2}$

$= \frac{- 4}{3}$