Home > CC3 > Chapter 8 > Lesson 8.3.1 > Problem 8-127
x column 1 | x column 2 | x column 3 | x column 4 | x column 5 | x column 6 | |
y column 1 | y column 2 is blank. | y column 3 | y column 4 is blank. | y column 5 | y column 6 is blank. |
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-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 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