How do you find the slope given (c, d) and (c, 1/d)?

1 Answer
Jul 19, 2016

The slope is undefined and the line is a vertical line through #x# at #c#
Whenever the #x# value of two points of a line are the same value the slope is undefined.

Explanation:

Slope which is the change in #x# versus the change in #y#.

Slope is identified by the letter #m#

#m = (Deltay)/(Deltax)#

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

#(c,d)# and #(c,1/d)#

#x_1=c#
#y_1=d#
#x_2=c#
#y_2=1/d#

#m = (1/d-d)/(c-c)#

#m = (1/d-d/d)/(c-c)#

#m = ((1-d)/d)/(0)#

Because the numerator is #0# this fraction is undefined

#m =# undefined

The slope is undefined and the line is a vertical line through #x# at #c#
Whenever the #x# value of two points of a line are the same value the slope is undefined.