Question 663043


In order to find the slope, it is simplest to put this line equation into {{{slope-intercept}}} form. 

If we rearrange this line to be in the form "{{{y = mx + b}}}", it will be easy to read off the slope {{{m}}}.

you are given:

{{{x=3}}}
{{{x=-2}}}...means you have the vertical lines


Now consider the vertical line {{{x = 3}}}

Is the vertical line going {{{up}}} on one end? Well, kind of. 
Is the vertical line going {{{down}}}} on the other end? Well, kind of. 
Is there any number that is {{{both}}} positive and negative? {{{No}}}.

conclusion: vertical lines have {{{NO}}} {{{SLOPE}}}. 

In particular, the concept of slope simply does {{{not}}} work for {{{vertical}}} lines. The slope {{{doesn't}}}{{{ exist}}}! "the slope is {{{undefined}}}" 

All vertical lines are in the form {{{x = some_number}}}.