284 Chapter 3 Graphing Linear Equations in Two Variables For Exercises 21–24, graph the equation. 21. 22. x 2y 4 x y 5 5 4 y 1 2 1 23. 24. 5 4 y 1 21 y 3x y x 1 4 5 4 y 1 2 1 5 4 y 1 1 For Exercises 25–28, identify the line as horizontal or vertical. Then graph the equation. 25. 3x 2 10 Vertical 26. 2x 1 2 5 y 1 2 1 5 4 y 1 21 27. 6y 1 13 28. 5y 1 14 5x 3y 12; No 2x 4y 6; No 1 3 x 2; y Yes 2 5 x 1; y Yes y 1 1 5 5 4 y 1 21 1 3 3 5 Vertical Horizontal Horizontal x y 2 1 3 4 1 2 x y 0 2 2 6 3 73 5 4 1 2 1 2 3 x y 0 3 6 x y 0 3 1 (0, 2) (6, 3) ( ) 765 43 1 2 3 2 3 4 5 x 3 2 73 2, 543 1 2 3 4 5 2 3 4 5 x 3 2 1 (3, 4) (2, 1) (1, 2) y x 4 3 76 54 3 2 3 (6, 5) 1 1 3 4 5 6 2 2 (3, 1) 1 1 2 5 4 y 1 (0, 1) 543 2 1 1 2 3 4 5 2 4 5 x 3 2 1 (1, 5) (3, 3) (0, 3) 3 543 1 2 3 4 2 3 4 5 x 3 1 x 2y 4 2 5 543 1 2 3 4 5 2 3 4 5 x 3 2 1 x y 5 543 1 2 3 4 5 2 3 4 5 x 3 2 1 y 3x 543 2 1 2 3 4 5 2 3 4 5 x 3 2 1 y 14 x 543 1 2 3 5 2 3 4 5 x 3 2 1 3x 2 10 4 4 543 1 2 3 4 5 2 3 4 5 x 3 2 1 2x 1 2 5 4 y 1 543 1 3 4 5 21 2 3 4 5 x 3 1 6y 1 13 2 5 4 y 2 1 2 543 21 1 2 3 4 5 2 3 4 5 x 1 5y 1 14 3 Section 3.2 For Exercises 13–16, determine if the given ordered pair is a solution to the equation. 13. (0, 4) 14. (3, 0) 15. (9, 1) 16. (10, 5) For Exercises 17–20, complete the table and graph the corresponding ordered pairs. Graph the line through the points to represent all solutions to the equation. 17. 18. 1 2 3x y 5 x 3y 6 19. y x 1 20. y 2x 3 Writing Translating Expression Geometry Scientific Calculator Video
miller_introductory_algebra_3e_ch1_3
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