How do you find the slope for #x-5 = 0#?

1 Answer
Alan P.
Jun 10, 2015

The slope of #x-5=0# is "undefined".

Explanation:

#x-5 =0#
or equivalently #x = 5#
is a vertical line.

Slope for any two points #(x_1,y_1) and (x_2,y_2)# is defined as
#(y_2-y_1)/(x_2-x_1)#

#x_2 and x_1# must both be #=5# based on the equation
so any attempt to evaluate the slope results in an attempt to divide by zero.

#x-5=0# is a vertical line

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