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Let $A=(-6,3), B=(2,7)$, and $C$ be the vertices of a triangle. Say the altitudes through the vertices $A$ and $B$ intersect at $Q=(2,-1)$. Find the coordinates of $C$.

[The altitude through a vertex of a triangle is a straight line through the vertex that is perpendicular to the opposite side - or an extension of the opposite side. Although not needed here, the three altitudes always intersect in a single point, sometimes called the orthocenter of the triangle.]
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