### Home > CC3 > Chapter 8 > Lesson 8.3.1 > Problem 8-127

Complete the table.

*8-127 HW eTool*(Desmos). Homework Help ✎*x*–9

–6

3

0

1

6

*y*–4

4

2

Find the rule.

What is the slope?

Is this an example of linear or non-linear growth? Justify your answer.

Notice that there are three known coordinates: (−9, −4), (0, 2), and (3, 4).

Now notice that for every difference of 3 in the *x*-coordinate, the *y*-coordinate changes by 2.

Use this reasoning to fill in the rest of the table.

The difference in the *y*-coordinate from *x* = 0 to *x* = 3 is 2. Since 6 is twice 3, the difference in the *y*-coordinate from *x* = 0 to *x* = 6 is twice as much.

(−6, −2) and (6, 6)

To find the rule, look for a pattern that can relate the *y*-coordinate to the *x*-coordinate.

Notice that at *x* = 0, *y* = 2.

Also remember that the *y*-coordinate increases by 2 for every 3 units the *x*-coordinate increases.

The slope describes how the values increase.

It can be written as:

You can fill in the last *y*-coordinate in the table by substituting 1 into the rule.

If you were to graph all of the points in the table, would they form a line?

Complete the table in the eTool below to graph the points.

Click the link at right for the full version of the eTool: *CC3 8-127 HW eTool*