Notice that there are three known coordinates:
Now notice that for every difference of
Use this reasoning to fill in the rest of the table.
The difference in the y-coordinate from
Find the rule.
To find the rule, look for a pattern that can relate the
y-coordinate to the
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.
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