Question

1. In a science lab, you collect the following sets of data. Which of the

four data sets are linear functions? If linear, determine the slope.

Answer 1

data set: a ; slope: 1/2

Explanation:

If an equation is linear, then the first common differences are all the same.

In table a:

17-12 = 5

22-17 = 5

27-22 = 5

etc.

Equation:

m represents slope

y = mx + b

y = mx + 12 (y-intercept is 12)

17 = 10m + 12

10m = 17-12

10m = 5

m = 10/5 = 1/2