Find the Constant of Variation 3x+5y=0

$3 x + 5 y = 0$

Subtract $3 x$ from both sides of the equation.

$5 y = - 3 x$

Divide each term in $5 y = - 3 x$ by $5$ and simplify.

Divide each term in $5 y = - 3 x$ by $5$ .

$\frac{5 y}{5} = \frac{- 3 x}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{- 3 x}{5}$

Divide $y$ by $1$ .

$y = \frac{- 3 x}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{3 x}{5}$

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 $- \frac{3}{5}$ .

$- \frac{3}{5}$

Find the Constant of Variation 3x+5y=0

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