Let $p(x) = ax + b$ and $q(x) = cx + d$ be two linear polynomials such that: (i) The graph of $p(x)$ passes through the points $(2, 3)$ and $(6, 11)$. (ii) The graph of $q(x)$ passes through the point $(4, -1)$. (iii) The graph of $q(x)$ is parallel to the graph of $p(x)$. Find the polynomials $p(x)$ and $q(x)$. Also, find the coordinates of the point where these lines meet the x-axis.