What is an equation of the line that goes through point (8, −9) and whose slope is undefined?

1 Answer
Johnson Z.
Nov 29, 2015

#x=8#

Explanation:

The slope of a line is known as #(rise)/(run)#. When a slope is undefined, the denominator of it is #0#. For example:

#1/0 or 6/0 or 25/0#

This means that there is rise (#y#), but no run (#x#).

For the line to cross the point (#8,-9#), the line would be #x=8#. This way, #x=8# will be a vertical line where all its x-values will always be at #8#. They will never move to the left or right. On the other hand, its y-values will increase up or down. The line would reach #-9# in (#8,-9#).

When a slope is undefined, you do not need to write it, so the equation for the line is #x=8#.

http://www.algebra.com/algebra/homework/Graphs/Graphs.faq.question.252509.html

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