Question:
The diagram below shows the graph of a proportional relationship. The plotted point is (6,9) .
What is the unit rate of this graph? Be sure to simplify your answer.
Answer:
The unit rate of this graph is 1.5
Explanation:
The graph shows a proportional relationship and the plotted point is (6,9).
The unit rate of the graph can be determined by the formula,
![\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=m](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%3Dm)
Thus, from the graph, the coordinates are (0,0) and (6,9)
Substituting the coordinates in the formula, we have,
![\frac{6-0}{9-0} =m](https://tex.z-dn.net/?f=%5Cfrac%7B6-0%7D%7B9-0%7D%20%3Dm)
Subtracting, we get,
![m=\frac{6}{9} =1.5](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B6%7D%7B9%7D%20%3D1.5)
Thus, the unit rate of the graph is 1.5