Use the image to answer the question.
A graph with x-axis and y-axis ranging from 0 to 8 in unit increments shows a line. The line passes through the following plotted points: left parenthesis 0 comma 0 right parenthesis; left parenthesis 2 comma 3 right parenthesis; and left parenthesis 4 comma 6 right parenthesis.
Identify the constant of proportionality from the graph.
(1 point)
Responses
23
Start Fraction 2 over 3 End Fraction
32
Start Fraction 3 over 2 End Fraction
12
Start Fraction 1 over 2 End Fraction
2
2
Skip to navigation
To identify the constant of proportionality from the graph, we need to determine the ratio between the changes in the y-coordinate and the changes in the x-coordinate.
Using the plotted points, we can see that the change in the y-coordinate from (0,0) to (2,3) is 3-0 = 3, and the change in the x-coordinate is 2-0 = 2. Similarly, the change in the y-coordinate from (2,3) to (4,6) is 6-3 = 3, and the change in the x-coordinate is 4-2 = 2.
Therefore, the constant of proportionality is the ratio of the changes in the y-coordinate and x-coordinate, which is 3/2.
So, the correct answer is Start Fraction 3 over 2 End Fraction.