256 Chapter 3 Graphing Linear Equations in Two Variables Concept 1: Slope-Intercept Form of a Linear Equation For Exercises 11–34, identify the slope and y-intercept, if they exist. (See Examples 1 and 2.) 2 3 11. y 2x 3 12. x 5 13. y y x 2 2 3 ; m 1; y-intercept: (0, 2) 14. 15. 16. y x 6 y x y 5x 5 3 3 4 17. 18. 19. y x 2x 5y 4 y x 1 3 4 ; y-intercept: a0, 20. 21. 22. 4 5m b 3x 2y 9 3x y 5 7x 3y 6 9 2m b m 3; y-intercept: 10, 52 ; 23. 24. 25. 7 3 x y 6 x y 1 x 6 8 26. 27. 28. 4 x 1 8y 2 1 y 9 1 4m 0; b m 0; y-intercept: 10, 82 29. 30. 31. 3y 2x 0 5x 6y 15x 5y 20 5 6 2 3 32. 33. 34. 3 4m b 1 1 m b 5 2Concept 2: Graphing a Line from Its Slope and y-Intercept For Exercises 35–38, graph the line using the slope and y-intercept. (See Examples 3 and 4.) 35. Graph the line through the point (0, 2), having 36. Graph the line through the point having 4. 3. a slope of a slope of 5 4 y 1 21 5 4 y 1 2 1 37. Graph the line through the point having 38. Graph the line through the point (0, 3), having a a slope of slope of 14 . 32 y 1 2 1 Writing Translating Expression Geometry Scientific Calculator Video . 10, 52, 10, 12, 6x 2y 4 4y 11x 3 10y 2x 5 543 1 2 3 4 5 2 3 4 5 x 3 2 1 543 1 2 3 4 5 2 3 4 5 x 3 2 1 543 2 1 1 2 3 4 5 2 3 4 5 6 7 x 3 2 1 5 4 y 1 543 1 2 3 4 5 2 3 4 5 x 3 2 1 y-intercept: a0, 2 5 ; m 2; y-intercept: (0, 3) m y-intercept: (0, 5) m 1; y-intercept: (0, 6) m 1; y-intercept: (0, 0) m 5; y-intercept: (0, 0) m y-intercept: (0, 1) 5 3m 1; b m y-intercept: (0, 0) ; Undefined slope; no y-intercept Undefined slope; no y-intercept m y-intercept: (0, 0) ; y-intercept: a0, m 3; y-intercept: 10, 42 m 3; y-intercept: 10, 22 y-intercept: a0, 11 4 ; ; y-intercept: a0, y-intercept: a0, 3 2 ; m y-intercept: (0, 2) m 1; y-intercept: (0, 6) m 1; y-intercept: 10, 12
miller_introductory_algebra_3e_ch1_3
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