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Message: <blockquote data-quote="bananakitties" data-source="post: 2465450" data-attributes="member: 844718">A table, or an input-output table is run by a rule. For example the rule might be that you add five to the input(x) value to get the output<img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f44d.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt="(y)" title="Thumbs up    (y)"  data-smilie="22"data-shortname="(y)" /> value. Since you are doing the same thing to each x value you put in, it will create a linear relationship.Of course if you really want to impress your teacher, you can say that a table does not always represent a linear relationship. A table showing the relationship of squaring the x value, would be a curved line because of the exponent.</blockquote>