Find the Constant of Variation -5y=5x+10

$- 5 y = 5 x + 10$

Step 1

Divide each term in $- 5 y = 5 x + 10$ by $- 5$ and simplify.

Divide each term in $- 5 y = 5 x + 10$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{5 x}{- 5} + \frac{10}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{5 x}{- 5} + \frac{10}{- 5}$

Divide $y$ by $1$ .

$y = \frac{5 x}{- 5} + \frac{10}{- 5}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $5$ and $- 5$ .

Factor $5$ out of $5 x$ .

$y = \frac{5 (x)}{- 5} + \frac{10}{- 5}$

Move the negative one from the denominator of $\frac{x}{- 1}$ .

$y = - 1 \cdot x + \frac{10}{- 5}$

Rewrite $- 1 \cdot x$ as $- x$ .

$y = - x + \frac{10}{- 5}$

Divide $10$ by $- 5$ .

$y = - x - 2$

Step 2

When solving for $y$ , $y = - x - 2$ , so $y$ doesn\'t vary directly with $x$ .

$y$ doesn\'t vary directly with $x$