Find the Constant of Variation -6y=-5x

$- 6 y = - 5 x$

Step 1

Divide each term in $- 6 y = - 5 x$ by $- 6$ and simplify.

Divide each term in $- 6 y = - 5 x$ by $- 6$ .

$\frac{- 6 y}{- 6} = \frac{- 5 x}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 y}{- 6} = \frac{- 5 x}{- 6}$

Divide $y$ by $1$ .

$y = \frac{- 5 x}{- 6}$

Simplify the right side.

Dividing two negative values results in a positive value.

$y = \frac{5 x}{6}$

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 $\frac{5}{6}$ .

$\frac{5}{6}$