# What is the slope of the line passing through the following points: (2,7) , (-4, -2)?

The slope is $\frac{3}{2}$
You can use the slope formula. The slope, $m$ through two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ is given by $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$
So, the slope through the the points $\left(2 , 7\right)$ and $\left(- 4 , - 2\right)$ is:
$m = \frac{- 2 - 7}{- 4 - 2} = \frac{- 9}{- 6} = \frac{3}{2}$