How do you find the slope of #(6, -2), (5, -4)#?

1 Answer
Josh Tran
May 4, 2018

#m = 2#

Explanation:

To find the slope between two points, calculate the ratio between the rise, or the change in y-coordinates (vertical distance) and the run, or the change in x-coordinates (horizontal distance):

-#4 -# #(#-#2) =# -#2# (rise)
#5 - 6 = #-#1# (run)

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

Note that slope is represented by the variable "#m#" because the Cartesian Coordinate Plane was invented by a French mathematician, and the French word for "climb" is monter.

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