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!!!

at home andrea has 1 2/3 kilograms of rice

step-by-step explanation:

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.