# How do you find the slope given (2, -1) (4,7)?

$\text{Slope} = 4$

#### Explanation:

$\text{Slope"="rise"/"run} = \frac{\Delta y}{\Delta x} = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

We can pick which set of points we want to be the first and second ones (doesn't matter - the math will make it work out regardless of which is which).

$\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{7 - \left(- 1\right)}{4 - 2} = \frac{8}{2} = 4$

and just to show that it is true:

$\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{\left(- 1\right) - 7}{2 - 4} = \frac{- 8}{- 2} = 4$