The line $L_1$ passes through the points $(-1, 2)$ and $(3, 6)$. If $L_1$ divides the line $L_2$ (which passes through $(3, -1)$) in the ratio $1:3$ internally, and the point of intersection lies on $L_1$, find the equation of $L_2$ given that it is perpendicular to $L_1$.
- A$4x - 3y - 15 = 0$
- B$x + y - 2 = 0$
- C$x + y + 2 = 0$
- D$x - y - 4 = 0$
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