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

Question: Determine the rate of change from this graph. (Picture of graph attached-example-1
User Mysteryos
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1 Answer

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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

User Defines
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