To see if they represent a direct variation we have to write yhem in the form:
[tex]y=kx[/tex]so we rewrite the four equations like:
[tex]\begin{gathered} A\to y=3x+4 \\ B\to y=\frac{6}{x} \\ C\to y=\frac{3}{6}x \\ D\to y=-x+6 \end{gathered}[/tex]So the only one that has the same form is option C