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

2
2

12
Start Fraction 1 over 2 End Fraction

32
Start Fraction 3 over 2 End Fraction

23
Start Fraction 2 over 3 End Fraction
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1 answer

To determine the constant of proportionality from the graph, we can look at the relationship between the x-values and the y-values.

From the plotted points (0, 0), (2, 3), and (4, 6), we can see that as the x-values increase by 2 units, the y-values increase by 3 units.

Therefore, the constant of proportionality is 3/2.

The correct answer is Start Fraction 3 over 2 End Fraction.