x y Cartesian Plane y axis x axis origin René Descartes ( ) Points and their Coordinates
x y The Cartesian Plane is divided into four quadrants. I II III IV
x y Plotting Points in the Cartesian Plane (5, 6) is an example of an ordered pair. x coordinate y coordinate (5, 6) 5 6
x y (x, y) Left (-) or Right (+) Up (+) or Down (-) It is like a GPS system! Starting from the origin… (–3, 4) left 3 up 4
x y Plot the following points. A(– 4, 6) B(2, – 3) C(– 6, – 4) D(7, 3) These points all lie in different quadrants. What do you notice about their coordinates?
x y Plot the following points. F(0, 6) E(5, 0) H(0, – 3) G(– 7, 0) H(0, – 3) E(5, 0) These points all lie on the axes, not in quadrants. What do you notice about their coordinates?
x y Special Points: INTERCEPTS X-intercepts Points that lie on the x axis Coordinates will be (x, 0) Intercepts are points that lie on an axis, Y-intercepts Points that lie on the y axis Coordinates will be (0, y)