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

12
Start Fraction 1 over 2 End Fraction

23
Start Fraction 2 over 3 End Fraction

32
Start Fraction 3 over 2 End Fraction

2
2
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1 answer

The constant of proportionality can be found by examining the ratio of the y-coordinates to the corresponding x-coordinates.

Between the points (0,0) and (2,3), the ratio of the y-coordinate to the x-coordinate is 3/2.

Similarly, between the points (2,3) and (4,6), the ratio of the y-coordinate to the x-coordinate is also 3/2.

Therefore, the constant of proportionality is 3/2.