The point A A\,A has the coordinates (−2,3)(-2, 3)(−2,3), point B B\,B has the coordinates (4,−7)(4, -7)(4,−7).
The perpendicular bisector of AB AB\,AB intersects the line y=2x+1y = 2x + 1y=2x+1 at the point PPP.
Find the coordinates of PPP.