How do you find the slope given (1/2, -1); (3, -3/4)?

1 Answer
Alan P.
Aug 12, 2015

The slope between #(1/2,-1)# and #(3,-3/4)# is #1/10#

Explanation:

Given two general points #(x_1,y_1)# and #(x_2,y_2)#
the slope is given by the equation
#color(white)("XXXX")##m=(y_2-y_1)/(x_2-x_1)#

For the specific points #(1/2,-1)# and #(3,-3/4)#
this becomes
#color(white)("XXXX")##m = (-3/4 -(-1))/(3-1/2)#

#color(white)("XXXXXXX")##= (1/4)/(5/2)#

#color(white)("XXXXXXX")##= 1/10#

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