Is $3 x - 6 y = 0$ $3x-6y=0$ a direct variation?

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Is $3 x - 6 y = 0$ $3x-6y=0$ a direct variation?

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Answer 1 · 2015-04-07T16:27:17

Yes. Every time $x$ $x$ increases of one unit $y$ $y$ increases of a fixed amount equal to $\frac{1}{2}$ $1/2$ .
If you separate $y$ $y$ on one side and $x$ $x$ on the other you'll find:
$6 y = 3 x$ $6y=3x$
and:
$y = \frac{3}{6} x$ $y=3/6x$
or
$y = \frac{1}{2} x$ $y=1/2x$

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Is $3 x - 6 y = 0$ $3x-6y=0$ a direct variation?

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