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A point P is positioned relative to two perpendicular lines, called the coordinate axes. The perpendicular distance from the y-axis to point P is the x-coordinate; the perpendicular distance from the x-axis to point P is the y-coordinate. The coordinates x and y form an ordered pair (x, y).
Often, a grid is used to display points relative to the coordinate axes.
The point (4, 3) is located 4 units from the y-axis to the right and 3 units above the x-axis; the point (-2, 1) is 2 units to the left of the y-axis and 1 unit above the x-axis. The distance, d, between the two points can be found by the Pythagorean Theorem. The horizontal leg is the total distance in the x-direction: 4 - (-2) = 6; the vertical leg is the distance in the y-direction: 3 - 1 = 2. The distance is then
A square has two corners of a diagonal at (6, 8) and (2, 4). What is its area?
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= 6
= 2
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