Does the equation $2 x - 5 y = 0$ $2x - 5y = 0$ represent a direct variation and if so, identify the constant of variation?

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Answer 1 · 2016-07-18T13:57:30

Yes it does

You can rewrite the equation by adding $5 y$ $5y$ to both sides:

$2x-cancel(5y)+cancel(5y)=5y->2x=5y$

If we divide both sides by $5$ we get $y=2/5x$ ,
So $2/5$ is the constant of variation.

A direct variation means that if $x=0$ then $y=0$
This condition has been met.

Does the equation 2x - 5y = 0 2x−5y=02x - 5y = 0 represent a direct variation and if so, identify the constant of variation?