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

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Answer 1 · 2015-07-10T12:02:06

#m = (y_2-y_1)/(x_2-x_1) = -2/3 #

Hi there,
To find the slope of line passing through two points, we need to use the slope of line formula which is given by;

#m=(y_2-y_2)/(x_2-x_1)#

Where, m = slope #(x_1,y_1)# and #(x_2,y_2)# be the points of the line.

Here we need to assume #(x_1,y_1)# is (-4,2) and #(x_2,y_2)# is (5,-4).

Now plug the given values in the slope formula, we get

#m = ((-4)-(2))/((5)-(-4))#
or, #m = (-4-2)/(5+4)#
or, #m = (-6)/(9)#
or, #m = -2/3#

Hence the slope of the given points is #-2/3#

Thanks