# Chapter 2 - Functions, Equations, and Graphs - Mid-Chapter Quiz - Page 89: 27

\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*}

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