Cartesian Coordinate System

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Presentation transcript:

Cartesian Coordinate System Origin X – Axis Y – Axis Cartesian Coordinate System Quadrants Ordered Pair Coordinates

Terminologies: Cartesian Coordinate plane a two-dimensional surface on which a coordinate system has been set up; invented by Rene Descartes; also called Cartesian plane, graph, coordinate grid.

a pair of numbers, written as Coordinates the numbers in an ordered pair that locate a point in the coordinate plane. Ordered pair a pair of numbers, written as (x, y), that represents a point on a coordinate grid.

the horizontal number line on a coordinate grid. X-axis the horizontal number line on a coordinate grid. Y-axis the vertical number line on a coordinate grid

The four parts made by X and Y axis Quadrants The four parts made by X and Y axis Origin Intersection of X and Y axis

y Quadrant 2 Quadrant 1 ( - , + ) ( + , + ) Origin -x x ( - , - ) 3 ( - , + ) ( + , + ) 2 Origin 1 -x x -3 -2 -1 1 2 3 -1 -2 ( - , - ) ( + , - ) -3 Quadrant 3 Quadrant 4 -y

y Plot the point: 1. ( 1, 2) 3 2 1 -x x -3 -2 -1 1 2 3 -1 -2 -3 -y

y Plot the point: 2. ( 2, -3) 3 2 1 -x x -3 -2 -1 1 2 3 -1 -2 -3 -y

y Plot the point: 2. ( -2, 3) 3 2 1 -x x -3 -2 -1 1 2 3 -1 -2 -3 -y

y Plot the point: 2. (-2,-3) 3 2 1 -x x -3 -2 -1 1 2 3 -1 -2 -3 -y