# What is the slope of the line between  (-12,32)  and  (6,-6) ?

Jan 10, 2016

If $A \left({x}_{1} , {y}_{1}\right)$ and $B \left({x}_{2} , {y}_{2}\right)$ are two points then the slope $m$ of line between these two points is given by.

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

Here let $A \left({x}_{1} , {y}_{1}\right)$ represent $\left(- 12 , 32\right)$ and $B \left({x}_{2} , {y}_{2}\right)$ represent $\left(6 , - 6\right)$.

$\implies m = \frac{- 6 - 32}{6 - \left(- 12\right)} = - \frac{38}{6 + 12} = - \frac{38}{18} = - \frac{19}{9}$

$\implies m = - \frac{19}{9}$

Hence the slope of the line passing through the given points is $- \frac{19}{9}$.