Stitz-Zeager_College_Algebra_e-book

Y y 4 4 3 3 4 2 2 1 4 3 2 2 1 1 1 2 3 4 x 4 3 2 1 1 1

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Unformatted text preview: −4) Example 1.1.1. Plot the following points: A(5, 8), B − 5 , 3 , C (−5.8, −3), D(4.5, −1), E (5, 0), 2 F (0, 5), G(−7, 0), H (0, −9), O(0, 0).4 Solution. To plot these points, we start at the origin and move to the right if the x-coordinate is positive; to the left if it is negative. Next, we move up if the y -coordinate is positive or down if it is negative. If the x-coordinate is 0, we start at the origin and move along the y -axis only. If the y -coordinate is 0 we move along the x-axis only. 3 Again, the names of the coordinates can vary depending on the context of the application. If, for example, the horizontal axis represented time we might choose to call it the t-axis. The first number in the ordered pair would then be the t-coordinate. 4 The letter O is almost always reserved for the origin. 1.1 The Cartesian Coordinate Plane 3 y 9 8 A(5, 8) 7 6 F (0, 5) 5 4 3 5 B −2, 3 G(−7, 0) 2 1 O(0, 0) −9 −8 −7 −6 −5 −4 −3 −2 −1 1 2 E (5, 0) 3 4 5 6 7 8 9 x −1 D(4.5, −1) −2 −3 C (−5.8, −3) −4 −5 −6 −7 −8 −9 H (0, −9) When we...
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