Find the Constant of Variation -10y=-2x

$- 10 y = - 2 x$

Step 1

Divide each term in $- 10 y = - 2 x$ by $- 10$ and simplify.

Divide each term in $- 10 y = - 2 x$ by $- 10$ .

$\frac{- 10 y}{- 10} = \frac{- 2 x}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 y}{- 10} = \frac{- 2 x}{- 10}$

Divide $y$ by $1$ .

$y = \frac{- 2 x}{- 10}$

Simplify the right side.

Cancel the common factor of $- 2$ and $- 10$ .

Factor $- 2$ out of $- 2 x$ .

$y = \frac{- 2 (x)}{- 10}$

Cancel the common factors.

Factor $- 2$ out of $- 10$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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 $\frac{1}{5}$ .

$\frac{1}{5}$