248 Chapter 3 Graphing Linear Equations in Two Variables 78. Michael wants to buy an efficient Smart car that according to the latest EPA standards gets 33 mpg in the city and 40 mpg on the highway. The car that Michael picked out costs $12,600. His dad agreed to purchase the car if Michael would pay it off in equal monthly payments for the next 60 months. The equation y 210x 12,600 represents the amount, y (in dollars), that Michael owes his father after x months. a. How much does Michael owe his dad after 5 months? b. Determine the slope of the line and interpret its meaning in the context of this problem. m 210; The amount Michael owes his father decreases by $210 per month. Mixed Exercises For Exercises 79–82, determine the slope of the line passing through points A and B. 79. Point A is located 3 units up and 4 units to the right of point B. m 80. Point A is located 2 units up and 5 units to the left of point B. m 3 4 2 5 81. Point A is located 5 units to the right of point B. 82. Point A is located 3 units down from point B. m 0 The slope is undefined. 11, 22 84. Graph the line through the point ( ) having 5 4 y 1 34 1, 2 2524 232221 1 2 3 4 5 1 2 3 4 5 5 4 y 3 2 1 21 22 23 24 25 x 21 For example: (4, 4) and (2, 0) For example: (5, 1) and (3, 5) 5 4 y 1 21 11, 32 12, 22 86. Graph the line through the point having 5 4 y 1 21 For example: (3, 5) and (1, 1) For example: (0, 5) and (2, 1) 5 4 y 1 21 Writing Translating Expression Geometry Scientific Calculator Video 22 23 24 25 x 3 2 2524 232221 1 2 3 4 5 22 23 24 25 x 3 2 2524 232221 1 2 3 4 5 22 23 24 25 x 3 2 2524 232221 83. Graph the line through the point having 23 slope . Then give two other points on the line. slope . Then give two other points on the line. 85. Graph the line through the point having slope 3. Then give two other points on the line. slope 2. Then give two other points on the line. Michael owes $11,550 after 5 months. 87. Graph the line through (3, 2) with an undefined slope. Then give two other points on the line. 88. Graph the line through (3, 3) with a slope of 0. Then give two other points on the line. 1 2 3 4 5 22 23 24 25 x 3 2 5 4 y 1 2524 232221 1 2 3 4 5 21 22 23 24 25 x 3 2 2524 232221 For example: (3, 1) and (3, 4) For example: (4, 3) and (2, 3)
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