# What is the slope of the line passing through the following points:  (-4, -3); (0,4)?

Feb 6, 2016

Slope: $\frac{7}{4}$

#### Explanation:

For any two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$
the slope is given by the formula
$\textcolor{w h i t e}{\text{XXX}} m = \frac{\Delta y}{\Delta x} = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

For this example
$\textcolor{w h i t e}{\text{XXX}} \left({x}_{1} , {y}_{1}\right) = \left(- 4 , - 3\right)$
$\textcolor{w h i t e}{\text{XXX}} \left({x}_{2} , {y}_{2}\right) = \left(0 , 4\right)$

So the slope is $m = \frac{4 - \left(- 3\right)}{0 - \left(- 4\right)} = \frac{7}{4}$