Graph the system: $$\left\{ \begin{array}{r@{\,}r@{\,}r} x & \le & 6 \cr y & \le & 4 \cr x & \ge & -9 \cr 5 x - 6 y & \le & 30 \cr 5 x + 9 y & \ge & -45 \end{array} \right.$$ List the vertices of the region clockwise starting with the vertex whose $y$-coordinate is the lowest:
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