How do I find a perpendicular line to a vertical line graph eg: x=2?

2 Answers
Jul 23, 2015

Since you didn't just ask for the slope, you would need to know the value of some point on the line; for example #(a,b)#, in which case the answer would be #y=b#

Explanation:

All lines perpendicular to a vertical line are horizontal lines.

All horizontal lines have a slope of #0# (that is #y# is a constant).

Given that #y# needs to be a constant,
if the line passes through #(x,y) = (a,b)#
then the line must be
#color(white)("XXXX")##y=b#

Jul 23, 2015

You have #y=k# where #k=#constant. For exanple, #y=2#

Explanation:

Your equation represents a vertical line passing through #x=2# so any horizontal line (with equation #y=k# where #k=# constant) will be perpendicular to it.