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hendricks_intermediate_algebra_1e_ch1_3

Section 3.1 The Coordinate System, Graphing Equations, and the Midpoint Formula 161 Once the points are entered, turn the STAT PLOT feature ON and graph. GRAPH Y= ENTER 2nd Example 2: Graph the equation y = x + 3. Solution: Enter the equation into the equation editor by pressing Y =. Y= X,T,u,n + 3 GRAPH To view a table of specific solutions, access the TABLE. 2nd GRAPH SECTION 3.1 EXERCISE SET Write About It! Use complete sentences in your answer to each exercise. 1. What is an ordered pair? 2. What is the rectangular coordinate system? 3. Explain the quadrants of a rectangular coordinate system. 4. How can we determine algebraically if an ordered pair is a solution of an equation? 5. Explain how to graph an equation. 6. How can we determine graphically if an ordered pair is a solution of an equation? 7. How does the concept of average pertain to the midpoint of a line segment? 8. Where is the midpoint of a line segment if the input values of both points are the same? Practice Makes Perfect! Plot each ordered pair on a rectangular coordinate system and identify the quadrant in which it is located. (See Objective 1.) 9. (5, 7) 10. (3, 6) 11. (-1, 4) 12. (-2, 10) 13. (0, -13) 14. (0, 17) 15. a1 2 , - 1 4 b 16. a- 1 3 , - 3 4 b 17. (7.3, 0) 18. (9.6, 0) Choose an appropriate scale to plot the three ordered pairs on the same rectangular coordinate system. (See Objective 1.) 19. (10,-7), (4, 3), (-6, 0) 20. (-8, 14), (2, 10), (-6,-2) 21. (20, 48), (14, 23), (12, 35) 22. (32, 16), (18, 52), (7, 21) 23. (-15, 3), (6, -7), (-3, 12) 24. (-4, -15), (-13, 6), (7, 21) Determine if each ordered pair is a solution of the equation. (See Objective 2.) 25. 4x + y = 3; (1, -1) 26. 5x + y = 6; (2, -4) 27. 2x - 3y = 4; (-1, -1) 28. 9x - 5y = 1; (-2, 3) 29. y = - 3x + 8; a2 3 , - 5b 30. y = - 7x + 14; a3 7 , 11b 31. y = 1 2 x - 10; (-6, -3) 32. y = 3 4 x - 3; (-4, 7) 33. y = |x + 3|; (6, -9) 34. y = |x - 12|; (5, 7) 35. y = |x + 1| - 3; (-4, -6) 36. y = |x - 8| - 5; (-2, 5) 37. y = x2 - 2; (-4, 14) 38. y = x2 + 3; (-6, 39)


hendricks_intermediate_algebra_1e_ch1_3
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