Does the equation $2 x = 4 y$ $2x=4y$ represent a direct variation and if so, identify the constant of variation?

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Does the equation $2 x = 4 y$ $2x=4y$ represent a direct variation and if so, identify the constant of variation?

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Answer 1 · 2017-07-05T07:31:51

$k = \frac{1}{2}$ $k=1/2$

Explanation:

$direct variation is in the form$ $"direct variation is in the form "$

$y = k x where k is the constant of variation$ $y=kx" where k is the constant of variation"$

$2 x = 4 y can be arranged to this form$ $2x=4y" can be arranged to this form"$

$divide both sides by 4$ $"divide both sides by 4"$

$\frac{2}{4} x = \frac{4}{4} y$ $2/4x=4/4y$

$\Rightarrow y = \frac{1}{2} x \leftarrow in form y = kx$ $rArry=1/2xlarrcolor(blue)" in form y = kx"$

$\Rightarrow k = \frac{1}{2}$ $rArrk=1/2$

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Does the equation $2 x = 4 y$ $2x=4y$ represent a direct variation and if so, identify the constant of variation?

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

Does the equation 2x=4y2x=4y represent a direct variation and if so, identify the constant of variation?

1 Answer

Explanation:

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Impact of this question

Does the equation $2 x = 4 y$ $2x=4y$ represent a direct variation and if so, identify the constant of variation?