Can you apply the distance formula?

Geometry Level 2

Line segment \(M\) has endpoints \(Q(3,1)\) and \(R(2,4)\). Line segment \(M'\) has endpoints \(Q'(4,2)\) and \(R'(7,3)\) and is created by rotating line segment \(M\) around point \(P\). What are the coordinates of \(P\)?

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