Question

which sets of ordered pairs represents a linear relationship? if the relationship is linear, calculate the rate of change of the dependent variable.

1. (-2,4),(-1,1),(0,0),(1,1),(2,4),(3,9)

2. (5,13),(6,15),(7,17),(8,19),(9,21),(10,23)

3. (1,-14),(3,-5),(6,4),(9,13),(12,22),(15,31)


If i'm correct 2 & 3 is linear. But i don't know how to calculate the rate of change of the dependent variable??

Answer 1

divide the change in the dependent by the change in the independent.

For #2, that is 2/1,2/1,2/1,... xo it's linear

For #2, that's 9/2, 9/3, 9/3, 9/3, 9/3
They are all the same except for the first, so unless there's a typo, it's not linear.