# How do you find a slope of (8,2) and (10,-2)?

Apr 17, 2018

$- 2$

#### Explanation:

Slope of a line is given by:

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

• $\left({x}_{1} , {y}_{1}\right)$ are the coordinates of the first point

• $\left({x}_{2} , {y}_{2}\right)$ are the coordinates of the second point

We got: $\left({x}_{1} , {y}_{1}\right) = \left(8 , 2\right) , \left({x}_{2} , {y}_{2}\right) = \left(10 , - 2\right)$.

$\therefore {x}_{1} = 8 , {y}_{1} = 2 , {x}_{2} = 10 , {y}_{2} = - 2$

And so,

$m = \frac{- 2 - 2}{10 - 8}$

$= \frac{- 4}{2}$

$= - 2$