Question

Question: Determine the rate of change from this graph. (Picture of graph attached)

Answer 1

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:

`y=mx`

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:

`(2,80)`

2. Substitute the corresponding coordinates into:

`y=mx`

Then:

`80=m(2)`

3. Solve for "m":

`\begin{gathered} (80)/(2)=m \\ \\ m=40 \end{gathered}`

Therefore, the answer is:

`m=40`