Question

Which slope is greater?
a. (-10, -25), (2, 11), (6, 23)
b. (10, 10), (-10, -10)

Answer 1

For (a), we can calculate the slope between each pair of points:

Slope between (-10, -25) and (2, 11):
m = (11 - (-25)) / (2 - (-10))
m = 36 / 12
m = 3

Slope between (2, 11) and (6, 23):
m = (23 - 11) / (6 - 2)
m = 12 / 4
m = 3

Therefore, the slope between the three points in set (a) is consistent at 3.

For (b), we can calculate the slope between the two points:

Slope between (10, 10) and (-10, -10):
m = (-10 - 10) / (-10 - 10)
m = -20 / -20
m = 1

Therefore, the slope between the two points in set (b) is 1.

Comparing the slopes, the slope for set (a) is greater than the slope for set (b).