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Why is the slope of [math]y[/math]-axis infinity?

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Meet our friend Tim! He is going for a field trip along the meandering course of the X axis (well, actually not!). On his way, first he sees perfectly flat land. He is very happy to go as he has to spend little to no energy in doing so. read more

Infinity technically isn't a number, so the slope can't really equal infinity. As a line approaches vertical, its slope approaches plus or minus infinity. Since the test specifically says positive infinity, I have to conclude that it was written by someone who is illiterate in math. read more

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Image Answers

How would you explain why 0+1-2+3-4… equals ¼ to a ninth ...
Source: quora.com

Further Research

Slopes and Infinity
sciforums.com

Why no slope for a plane?
math.stackexchange.com