Find the Constant of Variation -5x+2y=0

$- 5 x + 2 y = 0$

Add $5 x$ to both sides of the equation.

$2 y = 5 x$

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

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

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 $\frac{5}{2}$ .

$\frac{5}{2}$