Section 3.1 Equations and the Rectangular Coordinate System 205 GRAPHING CALCULATOR SKILLS The calculator can be used to make a scatter plot and to graph equations. These skills will come in handy in later math courses. At this point, know the features are available, but do not rely on the calculator to plot points or draw graphs. Example 1: Plot the points (3, -2), (0, 4), and (-2, 0). To plot points on the calculator, the x- and y-values must be entered into lists. Press STAT, 1 to access the list feature. Then enter the values in the appropriate columns, using L1 as the x-values and L2 as the y-values. Once the points are entered, turn the STAT PLOT feature ON and graph. 2nd 1 ENTER RA H Example 2: Graph y = x + 3. To graph an equation, enter the equation into the equation editor by pressing Y = and then press GRAPH to view the graph. T u n + 3 RA H To view a table of specific solutions, access the TABLE feature by pressing 2nd GRAPH. 2nd RA H More detail will be provided in Section 3.2 on graphing with the calculator. �� ���������������� �������� EXERCISE SET Write About It! Use complete sentences to explain the meaning of the given term or process. 1. Solution of an equation in two variables 2. Plotting a point on a rectangular coordinate system 3. Identifying a quadrant or axis where a point is located 4. Graphing the solutions of an equation in two variables Determine if each statement is true or false. If the statement is false, provide an explanation. 5. The ordered pair (0, -4) is a solution of the equation x - y = -4. 6. The point (3, 5) does not lie on the graph of the equation y = 2x + 1. 7. Any point located on the x-axis has an x-value of 0. 8. Any point located on the y-axis has a y-value of 0. 9. If a > 0 and b < 0, the point (a, b) is located in Quadrant II. 10. If a > 0 and b < 0, the point (-a, -b) is located in Quadrant III. Practice Makes Perfect! Determine algebraically if the ordered pair is a solution of the equation. (See Objective 1.) 11. (2, 0); 3x + y = 6 12. (-8, 0); 2x - 3y = 16 13. (0, -3); 4x - 2y = -6 14. (0, 5); x - 2y = -10 15. (5, -1); 7x + y = 36 16. (-4, -2); 5x - 6y = -8 17. a1 2 , - 3 2 b ; 2x - 4y = 7 18. a- 3 5 , 1 4 b ; 10x + 4y = 5 19. a- 2 5 , 0b ; y = 5x + 2 20. a4 7 , 0b ; y = 7x + 4 21. (0, 2); y = x2 - 5x + 2 22. (3, 4); y = x2 - 5x + 2
hendricks_beginning_algebra_1e_ch1_3
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