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Download the OpenStax text for free at http://anx.org/contentcolt 175 latest 76 CHAPTER 2 EQUATIONS AND INEQUALITIES Cartesian coordinate system A two-dimensional plane where the • X-axis is the horizontal axis .y-axis is the vertical axis A point in the plane is defined as an ordered pair, (xy), such that x is determined by its horizontal distance from the origin and y is determined by its vertical distance from the origin. Example 1 Plotting Points in a Rectangular Coordinate System Plot the points (-2, 4), (3, 3), and (0, -3) in the plane. Solution To plot the point (-2, 4), begin at the origin. The x-coordinate is -2, so move two units to the left. The y-coordinate is 4, so then move four units up in the positive y direction. To plot the point (3, 3), begin again at the origin. The x-coordinate is 3, so move three units to the right. The y-coordinate is also 3, so move three units up in the positive y direction To plot the point ( 0-3), begin again at the origin. The x-coordinate is 0. This tells us not to move in either direction along the x-axis. The y-coordinate is -3, so move three units down in the negative y direction. See the graph in Figure 5. ...
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