2015 Fermat Problem 19

The y-intercepts of three parallel lines are 2, 3 and 4. The sum of the x-intercepts of the three lines is 36. What is the slope of these parallel lines?

\textbf{(A)}\ -\frac{1}{3}\quad \textbf{(B)}\ -\frac{2}{9}\quad \textbf{(C)}\ -\frac{1}{6}\quad \textbf{(D)}\ -4\quad \textbf{(E)}\ -\frac{1}{4}

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