Direct variation explains an easy partnership between two variables . We say y varies straight through x (or as x , in some textbooks) if:

y = k x

for some consistent k .

This implies that as x increases, y boosts and as x decreases, y decreases—and also that the proportion between them constantly stays the exact same.

The graph of the straight variation equation is a straight line with the beginning.


Inverse variation describes an additional type of partnership. We say y varies inversely via x (or as x , in some textbooks) if :

x y = k ,

or, equivalently,

y = k x

for some consistent k .

This means that as x increases, y decreases and also as x decreases, y rises.

The graph of the inverse variation equation is a hyperbola .


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