Question

Does the equation represent a direct variation? If so, find the constant of variation.

5x = -3y

Answer 1

Since y/x=k, divide both sides by -3x:
\[\frac{5x}{-3x}=\frac{-3y}{-3x}\\
\Rightarrow -\frac{5}{3}=\frac{y}{x}=k.\]