We are asked to find the slopes of the given points and arrange them in increasing order.
Recall that the slope is given by
Let us first find the slopes of the given points.
1. (15, 30) and (20, 40)
2. (12, 32) and (18, 48)
3. (27, 12) and (72, 32)
4. (45, 15) and (60, 20)
5. (27, 2) and (243, 18)
6. (18, 63) and (24. 84)
7. (63, 9) and (84, 12)
Finally, let us arrange the slopes in increasing order (from least to greatest)
Therefore, the increasing order of the slopes is
m5 = 0.07 (27, 2) and (243, 18)
m7 = 0.14 (63, 9) and (84, 12)
m4 = 0.33 (45, 15) and (60, 20)
m3 = 0.44 (27, 12) and (72, 32)
m1 = 2 (15, 30) and (20, 40)
m2 = 2.67 (12, 32) and (18, 48)
m6 = 3.5 (18, 63) and (24. 84)