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