2009 Cayley Problem 18

A line with slope equal to 1 and a line with slope equal to 2 intersect at the point P(1,6), as shown. The area of \triangle PQR is

\textbf{(A)}\ 6\quad \textbf{(B)}\ 9\quad \textbf{(C)}\ 12\quad \textbf{(D)}\ 15\quad \textbf{(E)}\ 18

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.