# How do you find the slope given (4,8) and (6, -2)?

Mar 19, 2016

$\text{slope=} - 5$

#### Explanation:

${P}_{1} = \left({x}_{1} , {y}_{1}\right) \text{ } {P}_{2} = \left({x}_{2} , {y}_{2}\right)$
$\Delta y = {y}_{2} - {y}_{1} = - 2 - 8 = - 10$
$\Delta x = {x}_{2} - {x}_{1} = 6 - 4 = 2$
$\text{slope=} \frac{\Delta y}{\Delta x}$
$\text{slope=} - \frac{10}{2}$
$\text{slope=} - 5$