Find the Constant of Variation -5y=2x

$- 5 y = 2 x$

Divide each term in $- 5 y = 2 x$ by $- 5$ and simplify.

Divide each term in $- 5 y = 2 x$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{2 x}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{2 x}{- 5}$

Divide $y$ by $1$ .

$y = \frac{2 x}{- 5}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{2 x}{5}$

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 $- \frac{2}{5}$ .

$- \frac{2}{5}$

Find the Constant of Variation -5y=2x

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