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

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Answer 1 · 2018-05-07T19:38:06

The slope is -14.

$\frac{Y_{2} - Y_{1}}{X_{2} - X_{1}}$ $(Y_2 - Y_1)/(X_2 - X_1)$ = $m$ $m$ , the slope

Label your ordered pairs.

(-2, 2) $(X_{1}, Y_{1})$ $(X_1, Y_1)$
(-1, -12) $(X_{2}, Y_{2})$ $(X_2, Y_2)$

Plug in your data.

$\frac{- 12 - 2}{- 1 - - 2}$ $(-12 - 2)/(-1 - -2)$ = $m$ $m$

Two negatives become a positive, so the equation becomes:

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

Simplify.

$\frac{- 14}{1}$ $(-14)/(1)$ = $m$ $m$

$m$ $m$ = -14

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