Section 3.2 Linear Equations in Two Variables 213 Concept 1: Definition of a Linear Equation in Two Variables For Exercises 9–17, determine whether the given ordered pair is a solution to the equation. (See Example 1.) x y 6; 18, 22 y 3x 2; 11, 12 x 3; 13, 42 9. 10. 11. 4x 5y 1; a 1 4 2 5 5 2 x 5; a 4 5 y , 3b b y 1 3 12. 13. , 14. y 7; (0, 7) 15. y 2; (2, 6) 16. x 1; (0, 1) 17. x 5; (5, 6) Concept 2: Graphing Linear Equations in Two Variables by Plotting Points For Exercises 18–31, complete each table, and graph the corresponding ordered pairs. Draw the line defined by the points to represent all solutions to the equation. (See Examples 2–4.) 18. x y 3 19. x y 2 5 y 3 1 2 1 543 1 2 3 4 5 2 3 4 5 x 4 2 1 5 4 1 5 43 1 2 3 4 5 1 3 4 5 2 y x 3 2 1 2 20. y 5x 1 21. y 3x 3 6 5 21 y 22. 2x 3y 6 23. 4x 2y 8 5 4 y 1 21 543 1 2 3 4 5 2 3 4 5 x 3 2 1 2 7 y 24. 25. y 3 5 y x 5 x 2 y x 2 4 6 8 10 12 10 10864 2 8 6 4 2 2 4 6 8 5 4 y 1 10 8 y 21 1086 42 2 4 6 8 10 4 6 8 10 x 6 4 2 2 x y 2 3 1 0 x y 1 0 3 2 x y 0 0 2 x y 0 0 3 x y 1 1 1 x y 2 0 4 x y 7 7 0 x y 0 5 10 543 1 2 3 4 5 2 3 4 5 x 3 2 1 5 43 1 2 3 4 5 1 2 3 4 x 4 3 2 1 10 8 1086 42 2 4 6 8 10 4 6 8 10 x 6 4 2 2
miller_beginning_intermediate_algebra_4e_ch1_3
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