If all linear relationships can be shown as tables, does that mean all tables are linear? Look at the six tables shown below.

1 Extend as many of the tables as you can by adding the next (x,y) pair in the sequence.

2 If the table is linear, write down your prediction of what the y-value will be when x = 0.

3 If the table is not linear, write not linear instead of the y-intercept.

A

 x -2 -1 0 1 2 y -2 -3 -4 -5 -6

B

 x 2 3 4 5 6 y -12 -14 -16 -18 -20

when x=0, y will equal

when x=0, y will equal

C

 x 1 2 3 4 5 y 1 4 9 16 25

D

 x 5 6 7 8 9 y 3 3 3 3 3

when x=0, y will equal

when x=0, y will equal

E

 x 1 2 3 4 5 y 84 94 104 114 124

F

 x -10 -9 -8 -7 -6 y -1/10$\displaystyle \frac{-1}{10}$ -1/9$\displaystyle \frac{-1}{9}$ -1/8$\displaystyle \frac{-1}{8}$ -1/7$\displaystyle \frac{-1}{7}$ -1/6$\displaystyle \frac{-1}{6}$

when x=0, y will equal

when x=0, y will equal

What do you Notice? What do you Wonder?

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