Question 56633
Hi Ashley,
  (2, -3) and (2, 4)
  Did you notice that the x's are the same in both points?  If you plotted them and connected the points you'd have a vertical line going through x=2.  The equation of a vertical line going through x=2 is {{{highlight(x=2)}}}.
:
If you didn't recognize that, try to find the slope using the slope formula: {{{highlight(m=(y2-y1)/(x2-x1))}}}
(x1,y1)=(2,-3) and (x2,y2)=(2,4)
{{{m=(4-(-3))/(2-2)}}}
{{{m=7/0}}} 0 UNder the bridge=UNdefined is a cool way of remembering that when 0 is in the denominator the fraction is undefined.
Only vertical lines have undefined slopes, and vertical lines are {{{highlight(x=k)}}}, where k is some constant.
You can't write this kind of line in slope intercept form, it is a special case:
x=2
Happy Calculating, Ashley!!!