You can also find intercepts from a table by extending the pattern and checking the intercepts.
This table shows ordered pairs of a linear function. How could we find the intercepts?
| x | y |
|---|---|
| 9 | 2 |
| 3 | -2 |
| -3 | -6 |
| -9 | -10 |
Complete a table of common differences on x and y. To make a table of common differences, find the differences between the x-values and then the differences between the y-values.
These common differences can be used to find the slope because the change in y divided by the change in x is the slope of a linear function. The slope is -4 divided by -6 or 2 over 3 2 3 . Plot the points and continue across both intercepts to find the answers.
