Question 100
Let $L_{1}$ be the line with equation $6x - y + 6 = 0$. Let $P$ and $Q$ be the points of intersection of $L_{1}$ with the $x$-axis and $y$-axis, respectively. A line $L_{2}$ that passes through the point $(1, 0)$ intersects the $y$-axis and $L_{1}$ at $R$ and $S$, respectively. If $O$ denotes the origin and the area of $\triangle OPQ$ is six times the area of $\triangle QRS$, find all possible equations of the line $L_{2}$. Express your answer in the form $y = mx + b$.