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

8-127.

Complete the table. 8-127 HW eTool (Desmos)  Homework Help ✎

Notice that there are three known coordinates: , , and .

Now notice that for every difference of in the
-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 . Since is twice , the difference in the y-coordinate from to is twice as much.

and

  1. Find the rule.

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

    Notice that at , .
    Also remember that the y-coordinate increases by for every units the -coordinate increases.

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

  2. What is the slope?

    The slope describes how the values increase.
    It can be written as:

  3. 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: CC3 8-127 HW eTool