Find the Constant of Variation y=3 x=6

$y = 3$ $x = 6$

When two variable quantities have a constant ratio, their relationship is called a direct variation. It is said that one variable varies directly as the other. The formula for direct variation is $y = k x$ , where $k$ is the constant of variation.

$y = k x$

Solve the equation for $k$ , the constant of variation.

$k = \frac{y}{x}$

Replace the variables $x$ and $y$ with the actual values.

$k = \frac{3}{6}$

Cancel the common factor of $3$ and $6$ .

Factor $3$ out of $3$ .

$k = \frac{3 (1)}{6}$

Cancel the common factors.

Factor $3$ out of $6$ .

$k = \frac{3 \cdot 1}{3 \cdot 2}$

Cancel the common factor.

$k = \frac{3 \cdot 1}{3 \cdot 2}$

Rewrite the expression.

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

Find the Constant of Variation y=3 x=6

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