Answer
\begin{align*}
\text{$y$ does NOT vary directly with $x$}
\end{align*}
Work Step by Step
Using the properties of equality, the given equation, $
y+\dfrac{3}{4}x=12
,$ is equivalent to
\begin{align*}
y&=-\dfrac{3}{4}x+12
\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{$y$ does NOT vary directly with $x$}
.\end{align*}
