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Slope

From AoPSWiki

The slope of a line can be intuitively defined as how steep the line is, relative to some coordinate system. To be more precise, given a line in the Cartesian plane and two points, and , on with , the slope of is equal to If all points on have the same -coordinate (abscissa), we say that has infinite slope.

Other expressions for the slope are

(read "delta over delta "),
or \frac{\rm{change \ in \ } y}{\rm{change \ in \ } x}.


If is the directed angle between the -axis and , the slope is also given by .


See also

Preparing for MATHCOUNTS or the AMC contests, and having a tough time with number theory problems? Read Art of Problem Solving's Introduction to Number Theory by Mathew Crawford.
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