What is the slope of the line x=-2?

2 Answers
Jun 27, 2017

It is a curve parallel to Y-axis. Its slope is #oo#

Explanation:

Given -

#x=-2#

It is a curve parallel to Y-axis. Its slope is #oo#

Jun 27, 2017

The slope is undefined

Explanation:

Let's graph this line:

enter image source here

So, slope is change in #y# over change in #x#, or rise over run. So, if the graph goes up #1# unit, it moves over #0# units. That's the same for if #y# is #60# or #.778#. #x# is always #0#

So, no matter what, the slope is #y/0#, and since we cannot divide by #0#, we call the slope for this (and any other vertical lines) is undefined