For the given table, the slope is:
[tex]\boxed{m=2}[/tex]
Explanation:
You haven't provided any table, so I've provided a table in order to illustrate this problem:
[tex]\begin{array}{cc}x & y\\0 & 5\\1 & 7\\2 & 9\\3 & 11\\4 & 13\end{array}[/tex]
The table shows that x changes in steps of 1. So let's try to figure out whether this table represents a linear function. If x changes at a constant rate, then for any linear function we'll have a common difference. So:
[tex]7-5=2 \\ \\ 9-7=2 \\ \\ 11-7=2 \\ \\ 13-11=2[/tex]
As you can see, we have a common difference, so the function represented by the table is linear. So the slope can be found as:
[tex]m=\frac{7-5}{1-0} \\ \\ \boxed{m=2}[/tex]
Learn more:
Relationship among proportional relationships lines, rates of change, and slope:
https://brainly.com/question/674693
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