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The rectangular coordinate system A system with two number lines at right angles specifying points in a plane using ordered pairs x , y. The horizontal number line is called the x -axis The horizontal number line used as reference in a rectangular coordinate system. These two number lines define a flat surface called a plane The flat surface defined by x - and y -axes. The first number is called the x -coordinate, and the second number is called the y -coordinate. The intersection of the two axes is known as the origin The point where the x - and y -axes cross, denoted by 0, 0. The x - and y -axes break the plane into four regions called quadrants The four regions of a rectangular coordinate plane partly bounded by the x - and y -axes and numbered using the Roman numerals I, II, III, and IV. The ordered pair x , y represents the position of points relative to the origin.

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