To find the correct option we can replace the point (3,1) that belongs to the line and has to satisfy the equation:
[tex]\begin{gathered} \text{The point is (x,y)=(3,1) we use the value of x=3 in each option and check the value of y:} \\ A\text{. y=3x }\Rightarrow x=3;y=9\text{ }\ne1 \\ B\text{. y=6x }\Rightarrow x=3;y=18\ne1 \\ C\text{. y=1/3x }\Rightarrow x=3;y=1(Correct!!) \\ D\text{. y=1/6x }\Rightarrow x=3;y=\frac{1}{2}\ne1 \end{gathered}[/tex]
So, the correct option is C.
