One of the two equations in a linear system is given below. The system has infinite solutions. Which equation could be the second equation in the system? $$ y=\frac{1}{3}x-2 $$

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A linear system with infinite solutions implies that both lines are intersecting at every point. In other words, the lines are identical. If we manipulate the given equation into standard form, we get our answer.

$$ y=\frac{1}{3}x-2 $$ $$3(y)=\left(\frac{1}{3}x-2\right)\left(3\right) $$ $$3y=x-6$$ $$3y-x=-6$$ $$\boxed{-x+3y=-6}$$