Question #af11a

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Answer 1 · 2017-12-09T20:05:58

The slope is #-1#.

Given two ordered pairs #(x_1,y_1)# and #(x_2,y_2)#, the slope can be found by:

#\frac{y_2-y_1}{x_2-x_1}#

Let's identify the #x# and #y# coordinates:

#color(red)(x_1=-5)#

#color(blue)(y_1=3)#

#color(green)(x_2=2)#

#color(magenta)(y_2=-4)#

Now plug them into the slope formula:

#\frac{color(magenta)(y_2)-color(blue)(y_1)}{color(green)(x_2)-color(red)(x_1)}#

#\implies \frac{color(magenta)(-4)-color(blue)(3)}{\underbrace{color(green)(2)-color(red)((-5))}_{\text{Two negatives make a positive}#

#\implies \frac{-7}{7}#

#\implies -1#