Find the Constant of Variation -5x+4y=-3

$- 5 x + 4 y = - 3$

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

$4 y = - 3 + 5 x$

Divide each term in $4 y = - 3 + 5 x$ by $4$ and simplify.

Divide each term in $4 y = - 3 + 5 x$ by $4$ .

$\frac{4 y}{4} = \frac{- 3}{4} + \frac{5 x}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 3}{4} + \frac{5 x}{4}$

Divide $y$ by $1$ .

$y = \frac{- 3}{4} + \frac{5 x}{4}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{3}{4} + \frac{5 x}{4}$

When solving for $y$ , $y = - \frac{3}{4} + \frac{5 x}{4}$ , so $y$ doesn\'t vary directly with $x$ .

$y$ doesn\'t vary directly with $x$