# What is the slope of the line passing through the following points:  (1,-1) , (1/2, 1)?

Sep 18, 2016

slope = - 4

#### Explanation:

To find 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 $\left({x}_{1} , {y}_{1}\right) , \left({x}_{2} , {y}_{2}\right) \text{ 2 coordinate points}$

here the 2 points are $\left(1 , - 1\right) \text{ and } \left(\frac{1}{2} , 1\right)$

let $\left({x}_{1} , {y}_{1}\right) = \left(1 , - 1\right) \text{ and } \left({x}_{2} , {y}_{2}\right) = \left(\frac{1}{2} , 1\right)$

$m = \frac{1 - \left(- 1\right)}{\frac{1}{2} - 1} = \frac{2}{- \frac{1}{2}} = - 4 \text{ is the slope of the line}$