Find the Constant of Variation 2x+3y=0

$2 x + 3 y = 0$

Step 1

Subtract $2 x$ from both sides of the equation.

$3 y = - 2 x$

Step 2

Divide each term in $3 y = - 2 x$ by $3$ and simplify.

Divide each term in $3 y = - 2 x$ by $3$ .

$\frac{3 y}{3} = \frac{- 2 x}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{- 2 x}{3}$

Divide $y$ by $1$ .

$y = \frac{- 2 x}{3}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{2 x}{3}$

Step 3

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 $- \frac{2}{3}$ .

$- \frac{2}{3}$

Find the Constant of Variation 2x+3y=0

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