Review Exercises 285 For Exercises 29–36, find the x- and y-intercepts if they exist. x-intercept: 13, 02; 29. 4x 8y 12 30. 2x y 6 31. 32. y 8x 5x y 0 33. 34. 6y 24 2y 3 1 35. 36. 2x 5 0 3x 1 0 5 2 Section 3.3 37. What is the slope of the ladder leaning up against the wall? 38. Point A is located 4 units down and 2 units to the right of point B. What is the slope of the line through points A and B? 39. Determine the slope of the line that passes 17, 92 15, 12. through the points and 40. Determine the slope of the line that has x- and 11, 02 8 y-intercepts of and (0, 8). 41. Determine the slope of the line that passes through the points (3, 0) and 42. Determine the slope of the line given by 43. A given line has a slope of a. What is the slope of a line parallel to the given line? 5 b. What is the slope of a line perpendicular to the given line? 44. A given line has a slope of 0. a. What is the slope of a line parallel to the given line? 0 b. What is the slope of a line perpendicular to the given line? Undefined For Exercises 45–48, find the slopes of the lines l1 and l2 from the two given points. Then determine whether l1 and l2 are parallel, perpendicular, or neither. 45. l1: (3, 7) and (0, 5) l2: (6, 3) and 13, 32 5. y 1. 0 13, 72. Undefined 2 12, 12 11, 92 46. l1: and 10, 62 l2: and (2, 10) 10, 56 2 47. l1: and (2, 0) l2: 10, 2 and , 65 02 112 48. l1: (1, 1) and 11, 82 l2: and m1 5 12 12 5 m2 ; perpendicular 49. Carol’s electric bill had an initial reading of 35,955 kilowatt-hours at the beginning of the month. At the end of the month the reading was 37,005 kilowatt-hours. Let x represent the day of the month and y represent the reading on the meter in kilowatt-hours. 37,200 37,000 36,800 36,600 Kilowatt-Hours Used in a Month 36,200 a. Using the ordered pairs (1, 35955) and (31, 37005), find the slope of the line. b. Interpret the slope in the context of this problem. The number of kilowatt-hours increased at a rate of 35 kilowatt-hours per day. 50. New car sales were recorded over a 5-yr period in Maryland. Let x represent the year and y represent the number of new cars sold. 38,000 37,000 36,000 35,000 34,000 33,000 0 1 2 3 4 Year a. Using the ordered pairs (0, 37682) and (4, 33705), find the slope of the line. Round to the nearest whole unit. m 994 b. Interpret the slope in the context of this problem. The number of new cars sold in Maryland decreased at a rate of 994 cars per year. Number of New Cars Sold (0, 37682) (4, 33705) y x New Car Sales in Maryland m 35 y x 36,400 35,800 0 10 20 30 40 Kilowatt-Hours Day of the Month 36,000 (1, 35955) (31, 37005) 14, 52 17, 52 x-intercept: (3, 0); y-intercept: (0, 6) x-intercept: (0, 0); y-intercept: (0, 0) x-intercept: (0, 0); y-intercept: (0, 0) x-intercept: none; y-intercept: (0, 2) x-intercept: a y-intercept: none , 0b; x-intercept: a 1 , 0b; y-intercept: none 3 x-intercept: none; y-intercept: 10, 42 12 ft 5 ft m 12 5 2 3 1 5 m1 2 3 m1 8 m2 8; parallel 2 3 ; m2 parallel m1 undefined m2 0; perpendicular y-intercept: a0, 3 2b Writing Translating Expression Geometry Scientific Calculator Video
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