Unformatted text preview: speak of the Cartesian Coordinate Plane, we mean the set of all possible ordered pairs
(x, y ) as x and y take values from the real numbers. Below is a summary of important facts about
Important Facts about the Cartesian Coordinate Plane
• (a, b) and (c, d) represent the same point in the plane if and only if a = c and b = d.
• (x, y ) lies on the x-axis if and only if y = 0.
• (x, y ) lies on the y -axis if and only if x = 0.
• The origin is the point (0, 0). It is the only point common to both axes. 4 Relations and Functions The axes divide the plane into four regions called quadrants. They are labeled with Roman
numerals and proceed counterclockwise around the plane: y
4 Quadrant II Quadrant I
3 x < 0, y > 0 x > 0, y > 0
1 −4 −3 −2 −1 1 2 3 4 x −1
−2 Quadrant III Quadrant IV
−3 x < 0, y < 0 x > 0, y < 0
−4 For example, (1, 2) lies in Quadrant I, (−1, 2) in Quadrant II, (−1, −2) in Quadrant III, and (1, −2)
in Quadrant IV. If a...
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