# What is the slope of the line passing through the following points: (4,3); (-1, 5)?

Apr 19, 2017

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

#### Explanation:

$s l o p e = m = \frac{\Delta y}{\Delta x} = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

$m = \frac{5 - 3}{- 1 - 4} = \frac{2}{-} 5 = - \frac{2}{5}$

Apr 19, 2017

Slope $m = - \frac{2}{5}$

#### Explanation:

Given -

${x}_{1} = 4$
${y}_{1} = 3$
${x}_{2} = - 1$
${y}_{2} = 5$

Slope $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{5 - 3}{- 1 - 4} = - \frac{2}{5}$
Slope $m = - \frac{2}{5}$