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Question 92823: find the slope of the line passing through the points (-4,0) and (-4,-2).
Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website! Recall that the slope (m) can be described as "Rise over Run" or the change in the y-coordinates over the change in the x-coordinates. In algebrese:

Of course, the x's and y's are the coordinates of the given points (-4, 0) and (-4, -2) So let's calculate the slope, m, of the line passing through the given points using the formula:
Simplifying this we get:
...but, as you know, division by zero is frowned upon in mathematics, so when you see a slope that has zero in the denominator, (a zero run), this is called an "undefined (not a zero) slope".
What it really means is that the line is vertical.
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