Arrange the pairs of points in increasing order of the slopes of the lines joining them.
(15, 30) and (20, 40)
(12, 32) and (18, 48)
(27, 12) and (72, 32)
(45, 15) and (60, 20)
(27, 2) and (243, 18)
(18, 63) and (24, 84)
(63, 9) and (84, 12)

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