By definition, the rate of change of a line is also called "slope".
When a line passes through the Origin, its equation has the following form:
[tex]y=mx[/tex]
Where "m" is the slope of the line.
Then, in order to find the slope of the line shown in the graph, you can follow these steps:
1. Choose a point on the line. This can be:
[tex](2,80)[/tex]
2. Substitute the corresponding coordinates into:
[tex]y=mx[/tex]
Then:
[tex]80=m(2)[/tex]
3. Solve for "m":
[tex]\begin{gathered} \frac{80}{2}=m \\ \\ m=40 \end{gathered}[/tex]
Therefore, the answer is:
[tex]m=40[/tex]
