Question 5997: Help!!! find the equation of a line for the following
slope = undefined passing through (3,-8)
Thanks Caroline
Answer by prince_abubu(198)   (Show Source):
You can put this solution on YOUR website! It would be x = 3. Yes, that can be a line.
If an equation's got an undefined slope, it's automatically a vertical line. Remember when you calculated slope by saying  . A vertical line results if  forcing the denominator of the slope formula to be 0, which we can't have (that is, we can't have a zero denominator in math).
If you take all the points of a vertical line, their x-coordinates are all the same. If (3,-8) lies on that line, then so does (3,100) and (3,-195.2226). I just chose those two y values because it wouldn't matter. Since the y value can be ANYTHING and its choice doesn't affect that x value, your equation simply boils down to x = 3 in this case, because the x-coordinate given to you was 3.
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