Does the equation $\frac{y}{6} = x$ $y/6 = x$ represent a direct variation and if so, identify the constant of variation?

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Does the equation $\frac{y}{6} = x$ $y/6 = x$ represent a direct variation and if so, identify the constant of variation?

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Answer 1 · 2016-06-06T10:29:21

Constant of variation for $y \propto x$ $y prop x$ is $6$ $6$
Constant of variation for $x \propto y$ $x prop y$ is $\frac{1}{6}$ $1/6$

Explanation:

Yes. $\frac{y}{6} = x or y = 6 x$ $y/6 =x or y =6x$ i.e $y \propto x or y = k \cdot x$ $y prop x or y=k*x$ So constant of variation is $6$ $6$ . Alternately $x prop y or x=k*y :. k=1/6$ So here constant of variation is $1/6$ [Ans]

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Does the equation $\frac{y}{6} = x$ $y/6 = x$ represent a direct variation and if so, identify the constant of variation?

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Does the equation $\frac{y}{6} = x$ $y/6 = x$ represent a direct variation and if so, identify the constant of variation?