The linear function is a function that has a straight line when plotted on a
graph.
<h3>The correct option;</h3>
- The table of ordered pairs that represent a linear function is the option; <u>x/y -8/-7 0/0 8/7 16/14</u>
<u />
<h3>
Reasons why the above selection is correct:</h3><h3 /><h3>Given;</h3>
The given data can be presented as follows;
x/y -8/22 0/1 8/22 16/102
x/y -8/-7 0/1 8/9 8/2
x/y -8/-7 0/0 8/7 16/14
x/y -8/-7 0/1 8/5 16/4
<h3>Representation of the options in tabular form;</h3>
In a tabular form, we have;
![\begin{tabular}{|c|c|}x&y\\-8&22\\0&1\\8&22\\16&102\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%7B%7Cc%7Cc%7C%7Dx%26y%5C%5C-8%2622%5C%5C0%261%5C%5C8%2622%5C%5C16%26102%5Cend%7Barray%7D%5Cright%5D)
![\begin{tabular}{|c|c|}x&y\\-8&-7\\0&1\\8&9\\8&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%7B%7Cc%7Cc%7C%7Dx%26y%5C%5C-8%26-7%5C%5C0%261%5C%5C8%269%5C%5C8%262%5Cend%7Barray%7D%5Cright%5D)
![\begin{tabular}{|c|c|}x&y\\-8&-7\\0&0\\8&7\\16&14\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%7B%7Cc%7Cc%7C%7Dx%26y%5C%5C-8%26-7%5C%5C0%260%5C%5C8%267%5C%5C16%2614%5Cend%7Barray%7D%5Cright%5D)
![\begin{tabular}{|c|c|}x&y\\-8&-7\\0&1\\8&5\\16&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%7B%7Cc%7Cc%7C%7Dx%26y%5C%5C-8%26-7%5C%5C0%261%5C%5C8%265%5C%5C16%264%5Cend%7Barray%7D%5Cright%5D)
<h3>Characteristic of linear function;</h3>
In a linear function, when the x-values have a constant rate of increase the
first difference in the y-values is constant.
<h3>Selection of the table representing a linear function;</h3>
The option that have constant first difference along with a constant rate of
increase in the x-value is the option with the following table;
, which is the option x/y -8/-7 0/0 8/7 16/14
Learn more about linear functions here:
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