# What is the slope of the line between  (-2,2)  and  (-1,-12) ?

May 7, 2018

The slope is -14.

#### Explanation:

$\frac{{Y}_{2} - {Y}_{1}}{{X}_{2} - {X}_{1}}$ = $m$, the slope

(-2, 2) $\left({X}_{1} , {Y}_{1}\right)$
(-1, -12) $\left({X}_{2} , {Y}_{2}\right)$

$\frac{- 12 - 2}{- 1 - - 2}$ = $m$

Two negatives become a positive, so the equation becomes:

$\frac{- 12 - 2}{- 1 + 2}$ = $m$

Simplify.

$\frac{- 14}{1}$ = $m$

$m$ = -14