What is the slope of the line passing through the following points:  (-10,-5) , (-8,-7)?

Sep 20, 2016

slope = - 1

Explanation:

To calculate the slope use the $\textcolor{b l u e}{\text{gradient formula}}$

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
where m represents the slope and $\left({x}_{1} , {y}_{1}\right) , \left({x}_{2} , {y}_{2}\right) \text{ are 2 coordinate points}$

The 2 points here are (-10 , -5) and (-8 ,-7)

let $\left({x}_{1} , {y}_{1}\right) = \left(- 10 , - 5\right) \text{ and } \left({x}_{2} , {y}_{2}\right) = \left(- 8 , - 7\right)$

$\Rightarrow m = \frac{- 7 - \left(- 5\right)}{- 8 - \left(- 10\right)} = \frac{- 2}{2} = - 1$