Arrange the pairs of points in increasing order of slopes of the lines joining them

(27,2) and (243,18)

(63,9) and (84,12)

(45,15) and (60,20)

(27,12) and (72,32)

(15,30) and (20,40)

(12,32) and (18,48)

(18,63) and (24,84)

Step-by-step explanation:

Formula for slope of a line is

a) (15,30) and (20,40).

Similarly find the slope of other lines.

b) (12,32) and (18,48).

c) (27,12) and (72,32).

d) (45,15) and (60,20).

e) (27,2) and (243,18).

f) (18,63) and (24,84).

g) (63,9) and (84,12).

After arranging the slopes in increasing order, we get

So, required arrangement of ordered pairs is

(27,2) and (243,18)

(63,9) and (84,12)

(45,15) and (60,20)

(27,12) and (72,32)

(15,30) and (20,40)

(12,32) and (18,48)

(18,63) and (24,84)