Find the Constant of Variation 4y=-x

$4 y = - x$

Step 1

Divide each term in $4 y = - x$ by $4$ and simplify.

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

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

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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

Step 2

Since the equation can be written in the form $y = k x$ , $y$ varies directly with $x$ and $k$ . The constant of variation, $k$ , is $- \frac{1}{4}$ .

$- \frac{1}{4}$

Find the Constant of Variation 4y=-x

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