Answer
\begin{align*}
\text{$y$ varies directly with $x$}
\\
\text{constant of variation: }
\dfrac{3}{2}
\end{align*}
Work Step by Step
Using the properties of equality, the given equation, $
2y=3x
,$ is equivalent to
\begin{align*}
\dfrac{2y}{2}&=\dfrac{3x}{2}
\\\\
y&=\dfrac{3}{2}x
\end{align*}
Since the equation above takes the form of $y=kx$ or the direct variation model where $k$ is the constant of variation, then
\begin{align*}
\text{$y$ varies directly with $x$}
\\
\text{constant of variation: }
\dfrac{3}{2}
\end{align*}
