Is $4 x - 3 y = 0$ $4x - 3y = 0$ a direct variation equation and if so what is the constant?

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Is $4 x - 3 y = 0$ $4x - 3y = 0$ a direct variation equation and if so what is the constant?

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Answer 1 · 2016-08-04T15:52:44

The constant of variation is $\frac{4}{3}$ $4/3$

Explanation:

Direct variation is of form $y = k x$ $y=kx$ where $k$ $k$ is the constant of variation.

Consider the given equation: $4 x - 3 y = 0$ $" "4x-3y=0$

Add $3 y$ $3y$ to both sides giving:

$4 x = 3 y$ $4x=3y$

Divide both sides by 3 giving:

$\frac{4}{3} x = y$ $4/3x=y$

Write as $y = \frac{4}{3} x$ $y=4/3x" "$ Now compare to:

$y = k x$ $" "y=kx$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The constant of variation is $\frac{4}{3}$ $4/3$

$In other words, a variation equation of this type is that of a straight line graph$ $color(brown)("In other words, a variation equation of this type is that of a straight line graph")$

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Is $4 x - 3 y = 0$ $4x - 3y = 0$ a direct variation equation and if so what is the constant?

1 Answer

Explanation:

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Is 4x−3y=04x - 3y = 0 a direct variation equation and if so what is the constant?

1 Answer

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Is $4 x - 3 y = 0$ $4x - 3y = 0$ a direct variation equation and if so what is the constant?