240 Chapter 3 Graphing Linear Equations in Two Variables For Exercises 41–52, write each equation in slope-intercept form (if possible) and graph the line. (See Examples 3–4.) 41. 2x y 9 42. 6x y 8 43. x 2y 6 44. 5x 2y 2 9 8 7 6 5 543 1 2 3 4 5 5 4 y 1 21 5 4 y 1 2 1 9 8 7 6 5 4 1 45. 2x 4y 6 46. 6x 2y 14 47. x y 0 48. x y 0 5 4 y 3 2 1 543 1 2 3 4 5 21 1 2 3 4 5 x 5 4 y 1 543 1 2 3 4 5 21 2 3 4 5 5 4 y 1 21 8 7 6 5 4 y 1 21 49. 5y 4x 50. 2x 5y 51. 3y 2 0 52. 1 5y 6 x 3 2 1 5 4 y 1 543 1 2 3 4 5 21 2 3 4 5 x 3 2 1 5 4 y 1 543 1 2 3 4 5 21 2 3 4 5 x 3 2 1 5 4 y 1 543 2 1 1 2 3 4 5 2 3 4 5 x 3 2 1 5 4 y 1 543 1 2 3 4 5 21 2 3 4 5 x 3 2 1 543 1 2 3 4 5 2 3 4 5 x 3 2 1 543 1 2 3 4 5 2 x 3 2 1 4 1 2 1 y x 3 2 1 543 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 y x 3 2 1 Concept 3: Determining Whether Two Lines Are Parallel, Perpendicular, or Neither For Exercises 53–68, determine if the equations represent parallel lines, perpendicular lines, or neither. (See Examples 5–6.) 4 5 1 2 l1: y x 1 l1: y 2x 3 l1: y x 2 4 3 53. 54. 55. 56. 5 4 2 3 l1: y 1 5 x l2: y x l2: y 5x 3 1 2 l2: y l2: y x 6 3 4 x 4 l1: y 9x 6 l1: y 4x 1 l1: x 3 57. 58. 59. 60. 7 4 l1: y 2 3 l2: y l2: x 6 l2: y 4x 1 2 l2: y 9x 1 l1: 2x 4 l1: 2y 7 l1: 2x 3y 6 l1: 4x 5y 20 61. 62. 63. 64. l2: 6 x l2: y 4 l2: 3x 2y 12 l2: 5x 4y 60 1 5 l1: 4x 2y 6 l1: 3x y 5 x 3 l1: y x 2 65. 66. 67. 68. l1: y 1 3 l2: 4x 8y 16 l2: x 3y 18 l2: 2x 10y 20 l2: x 3y 12
miller_beginning_intermediate_algebra_4e_ch1_3
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