### Home > MC2 > Chapter Ch9 > Lesson 9.1.3 > Problem 9-30

Complete the table. 9-30 HW eTool (Desmos). Homework Help ✎

*x*–6

3

6

0

1

*y*4

2

–4

Find the rule.

What is the slope?

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

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 (−9, −4)

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.

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

Click the link at right for the full version of the eTool: MC2 9-30 HW eTool