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Center (2, Ϫ3) and passes through (5, 2) 34. Center (Ϫa, a) and radius 2a 8 1 STRAIGHT LINES AND LINEAR FUNCTIONS 35. DISTANCE TRAVELED A grand tour of four cities begins at city A and makes successive stops at cities B, C, and D before returning to city A. If the cities are located as shown in the accompanying figure, find the total distance covered on the tour. C (– 800, 800) 500 B(400, 300) D (–800, 0) x (miles) A(0, 0) VHF 30 45 60 75 y (miles) – 500 Range in miles 500 36. DELIVERY CHARGES A furniture store offers free setup and delivery services to all points within a 25-mi radius of its warehouse distribution center.

The distance between city A and city B is –5 d1A, B2 ϭ 2200 2 ϩ 50 2 Ϸ 206 b. The distance between A and B is d1A, B2 ϭ 212 Ϫ 42 2 ϩ 3 3 Ϫ 1Ϫ2 2 4 2 ϭ 21Ϫ2 2 2 ϩ 52 ϭ 14 ϩ 25 ϭ 129 The distance between B and C is d1B, C2 ϭ 21Ϫ3 Ϫ 2 2 2 ϩ 11 Ϫ 32 2 ϭ 21Ϫ52 2 ϩ 1Ϫ22 2 ϭ 125 ϩ 4 ϭ 129 or 206 mi. The distance between city B and city C is d1B, C2 ϭ 21600 Ϫ 2002 2 ϩ 1320 Ϫ 502 2 ϭ 2400 2 ϩ 270 2 Ϸ 483 or 483 mi. Therefore, the total distance the pilot would have to cover is 689 mi, so she must refuel in city B.

26. The slope of the line is negative, and its x-intercept is positive. y a. x 4 y f. 3 4 x –3 3 x –4 In Exercises 27–30, find an equation of the line that passes through the point and has the indicated slope m. y b. 4 27. (3, Ϫ4); m ϭ 2 29. (Ϫ3, 2); m ϭ 0 x 4 28. (2, 4); m ϭ Ϫ1 1 30. 11, 22; m ϭ Ϫ 2 In Exercises 31–34, find an equation of the line that passes through the given points. 31. (2, 4) and (3, 7) 32. (2, 1) and (2, 5) 33. (1, 2) and (Ϫ3, Ϫ2) 34. 2 In Exercises 35–38, find an equation of the line that has slope m and y-intercept b.

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