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

Jan 31, 2016

Slope: $\left(- \frac{3}{2}\right)$

#### Explanation:

In general the slope of a line between points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ is
$\textcolor{w h i t e}{\text{XXX}} m = \frac{\Delta y}{\Delta x} = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

When $\left({x}_{1} , {y}_{1}\right) = \left(1 , - 4\right)$ and $\left({x}_{2} , {y}_{2}\right) = \left(- 3 , 2\right)$
this becomes
$\textcolor{w h i t e}{\text{XXX}} m = \frac{2 - \left(- 4\right)}{\left(- 3\right) - 1} = \frac{6}{- 4} = - \frac{3}{2}$