Find the Constant of Variation x-y=0

$x - y = 0$

Subtract $x$ from both sides of the equation.

$- y = - x$

Divide each term in $- y = - x$ by $- 1$ and simplify.

Divide each term in $- y = - x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- x}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- x}{- 1}$

Divide $y$ by $1$ .

$y = \frac{- x}{- 1}$

Simplify the right side.

Dividing two negative values results in a positive value.

$y = \frac{x}{1}$

Divide $x$ by $1$ .

$y = x$

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 $1$ .

$1$