Find the Constant of Variation -x=10y

$- x = 10 y$

Rewrite the equation as $10 y = - x$ .

$10 y = - x$

Divide each term in $10 y = - x$ by $10$ and simplify.

Divide each term in $10 y = - x$ by $10$ .

$\frac{10 y}{10} = \frac{- x}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 y}{10} = \frac{- x}{10}$

Divide $y$ by $1$ .

$y = \frac{- x}{10}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{x}{10}$

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 $- \frac{1}{10}$ .

$- \frac{1}{10}$

Find the Constant of Variation -x=10y

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