Is $3 x - 3 y = 0$ $3x-3y=0$ an inverse variation?

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Is $3 x - 3 y = 0$ $3x-3y=0$ an inverse variation?

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Answer 1 · 2015-05-30T12:14:17

To be an inverse variation and equation must be or must be transformable into
$x y = c$ $xy = c$ (or equivalently $y = \frac{c}{x}$ $y = c/x$ ) for some constant $c$ $c$

$3 x - 3 y = 0$ $3x-3y = 0$

$\to 3 y = 3 x$ $rarr 3y = 3x$

$\to y = (1) x$ $rarr y=(1)x$

which is not and inverse variation.

(It is, in fact, a direct variation).

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Is $3 x - 3 y = 0$ $3x-3y=0$ an inverse variation?

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Is $3 x - 3 y = 0$ $3x-3y=0$ an inverse variation?