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

Notice that there are three known coordinates:

Now notice that for every difference of -coordinate, the

*-coordinate changes by*

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

The difference in the *y*-coordinate from to

*is*

*y*-coordinate from

*to*

*is twice as much.*

Find the rule.

To find the rule, look for a pattern that can relate the

*y*-coordinate to the-coordinate.Notice that at

,.

Also remember that the*y*-coordinate increases byfor every units the -coordinate increases.You can fill in the last

*y*-coordinate in the table by substitutinginto the rule. What is the slope?

The slope describes how the values increase.

It can be written as:Is this an example of linear or non-linear growth? Justify your answer.

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: *8-127 HW eTool*