The table shows several points on the graph of a linear function. Work in order, to see connections between the slope formula, distance formula, midpoint formula, and linear functions.

x..........................y
0........................-6
1........................-3
2.........................0
3........................ 3
4.........................6
5........................ 9
6.......................12

Find the midpoint of the segment joining 10, -62 and 16, 122. Compare the answer to the middle entry in the table. What do you notice?