How do you find the equation of the line that goes through P(3, -4), slope is undefined?

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Answer 1 · 2017-08-18T03:40:19

See a solution process below:

A line is a vertical line when the slope of the line is undefined.

This means for each and every value of #y#, the #x# value is the same.

So, given the point #P(3, -4)# we know the #x# value is #3#.

Therefore, we can plug any value in for #y# and #x# will always be #-8#.

Therefore the equation for this line is:

#x = 3#

Regardless of the value of #y#, #x# will always be #3#