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)

S₇ < S₅ < S₄ < S₃ < S₁ < S₂ < S₆

Step-by-step explanation:

Formula to calculating slope of the lines is:

S = (y₂ - y₁) / (x₂ - x₁)

Slope 1 :  S₁ = (40 - 30) / (20 -15) = 10 / 5 = 2

Slope 2:  S₂ = (48 - 32) / (18 - 12) = 16 / 6 = 2.67

Slope 3:  S₃ = (32 - 12) / (72 - 27) = 20 / 45 = 0.44

Slope 4:  S₄ = (20 - 15) / (60 - 45) = 5 / 15 = 0.33

Slope 5:  S₅ = (18 - 2) / (243 - 27) = 16 / 216 = 0.074

Slope 6:  S₆ = (84 - 63) / (24 - 18) = 21 / 6 = 3.5

Slope 7:  S₇ = (12 - 9) / (84 - 63) = 3 / 21 = 0.047

S₇ < S₅ < S₄ < S₃ < S₁ < S₂ < S₆

God with you!!!

correct answer is b. 27/8

step-by-step explanation:

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