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,
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=m[/tex]
Thus, from the graph, the coordinates are (0,0) and (6,9)
Substituting the coordinates in the formula, we have,
[tex]\frac{6-0}{9-0} =m[/tex]
Subtracting, we get,
[tex]m=\frac{6}{9} =1.5[/tex]
Thus, the unit rate of the graph is 1.5
