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

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Answer 1 · 2018-05-07T19:38:06

The slope is -14.

#(Y_2 - Y_1)/(X_2 - X_1)# = #m#, the slope

Label your ordered pairs.

(-2, 2) #(X_1, Y_1)#
(-1, -12) #(X_2, Y_2)#

Plug in your data.

#(-12 - 2)/(-1 - -2)# = #m#

Two negatives become a positive, so the equation becomes:

#(-12 - 2)/(-1 + 2)# = #m#

Simplify.

#(-14)/(1)# = #m#

#m# = -14