Find the Quadratic Constant of Variation 4y=12x

$4 y = 12 x$

Divide each term by $4$ and simplify.

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Divide each term in $4 y = 12 x$ by $4$ .

$\frac{4 y}{4} = \frac{12 x}{4}$

Cancel the common factor of $4$ .

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Cancel the common factor.

$\frac{4 y}{4} = \frac{12 x}{4}$

Divide $y$ by $1$ .

$y = \frac{12 x}{4}$

Cancel the common factor of $12$ and $4$ .

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Factor $4$ out of $12 x$ .

$y = \frac{4 (3 x)}{4}$

Cancel the common factors.

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Factor $4$ out of $4$ .

$y = \frac{4 (3 x)}{4 (1)}$

Cancel the common factor.

$y = \frac{4 (3 x)}{4 \cdot 1}$

Rewrite the expression.

$y = \frac{3 x}{1}$

Divide $3 x$ by $1$ .

$y = 3 x$

The given equation $y = 3 x$ can not be written as $y = k x^{2}$ , so $y$ doesn’t vary directly with $x^{2}$ .

$y$ doesn’t vary directly with $x$

Find the Quadratic Constant of Variation 4y=12x

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