# What is the slope of the line passing through the following points: (4,1),(-2,0) ?

##### 1 Answer
Mar 15, 2016

$s l o p e = \frac{1}{6}$

#### Explanation:

${P}_{1} = \left(4 , 1\right)$
${P}_{2} = \left(- 2 , 0\right)$
$\Delta x = {P}_{\text{2x"-P_"1x}} = - 2 - 4 = - 6$
$\Delta y = {P}_{\text{2y"-P_"1y}} = 0 - 1 = - 1$
$s l o p e = \tan \alpha = \frac{\Delta y}{\Delta x}$
$s l o p e = \frac{- 1}{- 6}$
$s l o p e = \frac{1}{6}$