Question

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)

Answer 1

S₇ < S₅ < S₄ < S₃ < S₁ < S₂ < S₆

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!!!