Question

Arrange this points in increasing order of the slope (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

A. (15,30)(20,40)
slope = (40 - 30) / (20 - 15) = 10/5 = 2 --- 2.00

B. (12,32)(18,48)
slope = (48 - 32) / (18 - 12) = 16/6 = 8/3 --- 2.666

C. (27,12)(72,32)
slope = (32 - 12) / (72 - 27) = 20/45 = 4/9 --- 0.444

D. (45,15)(60,20)
slope = (20 - 15) / (60 - 45) = 5/15 = 1/3 --- 0.333

E. (27,2)(243,18)
slope = (18 - 2) / (243 - 27) = 16/216 = 2/27 ----0.074

F. (18,63)(24,84)
slope = (84 - 63) / (24 - 18) = 21/6---- 3.5

G. (63,9)(84,12)
slope = (12 - 9) / (84 - 63) = 3/21 = 1/3---- 0.333

ok....so least to greatest (by the way, I put the fractions in decimal form to make it easier to put in the right order)..I also labeled them from A to G.

Least to greatest : E,G,D,C, A,B,F