Carterville was built along a grid using a coordinate plane. City Hall was located at (1,4). The Fire Department was located at (−3,4), and the Police Department was located at (1,−2). Each square on the coordinate plane is equal to 1 square mile. City planning wants to build a park such that the shape created by the Fire Department, City Hall and the Police Department form a rectangle. What should the coordinates of the new park be?