91 L10 Rectangular Coordinates; Graphs of Equations; Circle The Rectangular Coordinate Systemis formed by the x−axis and y−axis. A plane with the rectangular coordinate systemis called the coordinate planeor xy-plane. This plane has four quadrants: For each point Pin the xy-plane, there is a corresponding ordered pair (,)x y, where xand yare called coordinates of P, and we write ( ,)Px y=. Example: Determine the quadrant(s) in which (,)x yis located if 0x<and 0y<2x>and 3y=92 Distance between Two PointsThe distance between two points 111(,)Pxy=and 222(,)Pxy=, denoted by 12(,)d P P, is 22122121(,)()()d P Pxxyy=−+−. Note: 1) 12(,)0d P P≥2) 12(,)0d P P=if and only if 12PP=3) 1221(,)(,)d P Pd P P=MidpointA point Mon the line segment with endpoints 1Pand 2Pis called the midpointif 12(,)(,)d P Md M P=.
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