Question

which of the following sets of ordered pairs does not satisfy a linear function? a. (2,5), 4,9), (6,13), (7,15), (9,17) b. (2,5), (3,7), (4,9), (5,11), (6,13) c. (2,6), (4,8), (6,10), (8,12), (10,14) d. (2,6), (3,9), (4,12), (5,15), (6,18)

Answer 1

a. (2,5), (4,9), (6,13), (7,15), (9,17)

Explanation:

slope = (y2-y1)/(x2-x1)

a. (2,5), (4,9), (6,13), (7,15), (9,17)

m = (9-5)/(4-2) = 4/2 =2 an increase in 2 y for every 1 x

from 7 to 9 is an increase of 2 in the x direction so we should increase 4 in the y direction (15 to 17 is an increase of only 2)

This is not a linear function

b. (2,5), (3,7), (4,9), (5,11), (6,13)

c. (2,6), (4,8), (6,10), (8,12), (10,14)

d. (2,6), (3,9), (4,12), (5,15), (6,18)