How to Identify Linear Functions by ordered pairs
Identifying a linear function by ordered pairs.
This is just like using tables, with the only difference is you will have to put your ordered pairs into tables. If your values are in a table you can determine whether or not the data is linear if a constant change in x-corresponds to a constant change in y. However, you need to be careful if you find a constant change in the y-values, check for a constant in the x-values. Both need to be constant for the function to be linear. Sometimes test questions try to trick to you by making either the x or the y constant, but not the other. You can also plot the points in the tables in they form a straight line then it is a linear function.
Write the ordered pairs in a table, and look for patterns. If there is a constant change in x and a constant change in y then it is a linear function. Also, you can plot the points and graph.
|(-2, 7), (-1, 4), (0, 4), (1, -2), (2, -5)||(-2, 6), (-1, 3), (0, 2), (1, 3), (2, 6)|
|In this table, a constant change of +1 in x-corresponds to a constant change of -3 of in y. These points satisfy a linear function.||In this table, a constant change of +1 in x does not correspond to a constant change in y. These points do not satisfy a linear function.|
Click here to learn about a standard form of a linear
Topics in this Section