# What is the slope of the line passing through the following points:  (2,3) , (-1,4)?

Mar 2, 2016

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

#### Explanation:

The formula for the slope of a line based upon two coordinate points is

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

For the coordinate points $\left(2 , 3\right) \mathmr{and} \left(- 1 , 4\right)$
${x}_{1} = 2$
${x}_{2} = - 1$
${y}_{1} = 3$
${y}_{2} = 4$

$m = \frac{4 - 3}{- 1 - 2}$

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

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