Section 3.2 Linear Equations in Two Variables 231 Review Exercises For Exercises 2–8, refer to the figure to give the coordinates of the labeled points, and state the quadrant or axis where the point is located. 2. A 3. B 4. C 5. D 6. E 7. F 8. G 5 4 3 2 1 D G 2221 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.) 1 3 x y 6; 18, 22 y 3x 2; 11, 12 x 3; 13, 42 9. Yes 10. Yes 11. Yes 5 a4 3b a1 2 y x 5; , 4x 5y 20; b 2 5y 12. No 13. No 14. y 7; (0, 7) Yes 4 , 5 15. y 2; (2, 6) No 16. x 1; (0, 1) No 17. x 5; (5, 6) Yes 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 (0, 3) (2, 1) 5 y 1 543 1 2 3 4 5 2 1 2 3 4 5 x 4 2 1 (1, 4) (3, 0) 3 5 4 (4, 2) (3, 1) 1 5 43 1 2 3 4 5 1 3 4 5 2 y x 3 2 1 (1, 3) (2, 0) 2 3 20. y 5x 1 21. y 3x 3 6 5 21 y (1, 6) 22. 2x 3y 6 23. 4x 2y 8 (3, 0) 5 4 y 1 543 1 2 3 4 5 (2, ) (0, 2) 21 2 3 4 5 x 3 2 1 23 y x 2 4 6 8 10 12 10 10864 2 8 6 4 2 2 4 6 8 (2, 3) (1, 0) (4, 9) x y 2 1 0 3 1 4 3 0 x y 1 0 3 2 2 1 4 x y 0 2 3 0 2 23 x y 0 4 2 0 3 2 x y 1 6 0 1 1 4 x y 2 0 4 3 1 9 (2, 0) (3, 2) y (0, 4) 5 4 1 543 1 2 3 4 5 21 2 3 4 5 x 3 2 1 5 43 1 2 3 4 5 1 2 3 4 x 4 3 2 1 (0, 1) (1, 4) Writing Translating Expression Geometry Scientific Calculator Video 2524 23 1 2 3 4 5 21 22 23 24 25 A B C y x E F (2, 4); Quadrant I (2, 2); Quadrant III (5, 0); x-axis (3, 4); Quadrant IV (0, 1); y-axis (3, 2); Quadrant II (4, 1); Quadrant I
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