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Copyright © 2013 Pearson Education, Inc. Section 3.1 Introduction to Graphing

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The Rectangular Coordinate System One common way to graph data is to use the rectangular coordinate system, or xy-plane. In the xy-plane the horizontal axis is the x-axis, and the vertical axis is the y-axis. The axes intersect at the origin. The axes divide the xy-plane into four regions called quadrants, which are numbered I, II, III, and IV counterclockwise Page 160

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Example Plot the following ordered pairs on the same xy-plane. State the quadrant in which each point is located, if possible. a. (4, 3) b. ( 3, 4)c. ( 1, 0) Solution a. (4, 3) Move 4 units to the right of the origin and 3 units up. b. ( 3, 4) Move 3 units to the left of the origin and 4 units down. c. ( 1, 0) Move 1 unit to the left of the origin. Quadrant I Quadrant III Not in any quadrant Page 161

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Example Frozen pizza makers have improved their pizzas to taste more like homemade. Use the graph to estimate frozen pizza sales in 1994 and Solution a. To estimate sales in 1994, locate 1994 on the x-axis. Then move upward to the data point and approximate its y-coordinate. about $2.1 billion in sales Page 161

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Example (cont) Frozen pizza makers have improved their pizzas to taste more like homemade. Use the graph to estimate frozen pizza sales in 1994 and Solution b. To estimate sales in 2000, locate 2000 on the x-axis. Then move upward to the data point and approximate its y-coordinate. about $3.0 billion in sales Page 161

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Scatterplots and Line Graphs If distinct points are plotted in the xy-plane, then the resulting graph is called a scatterplot. Page 162

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Example Make a scatterplot of the data in the following table, which lists the price of a first-class postage stamp for selected years. Year Price (cents) Page 162

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Line Graphs Sometimes it is helpful to connect consecutive data points in a scatterplot with line segments. This creates a line graph. Page 163

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Example Use the data in the table to make a line graph. Solution Plot the points and then connect consecutive points with line segments. x 33 22 1 y340 33 24 33 Page 163

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Example Use the figure to answer the questions. a. Which 10-year period had the greatest increase in energy consumption? 1970 to 1980 b. Estimate the energy consumption in About 310 million Btu Page 164

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DONE

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Objectives Tables and Graphs The Rectangular Coordinate System Scatterplots and Line Graphs

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