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
3/2
Start Fraction 3 over 2 End Fraction
2
2
23
Start Fraction 2 over 3 End Fraction
1/2
Start Fraction 1 over 2 End Fraction
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Unfortunately, as a text-based AI, I cannot directly view images. However, based on your description of the graph, we can determine the constant of proportionality.
The line on the graph passes through the points (0,0), (2,3), and (4,6). Since the line passes through the origin (0,0), this implies that we have a proportional relationship between the x and y values. To find the constant of proportionality, we divide the y-coordinate by the x-coordinate for any of the other given points.
Use the point (2,3) to calculate the constant of proportionality:
Constant of proportionality = y / x = 3 / 2
Thus, the constant of proportionality, based on the information you provided, is 3/2 (or 1.5).
Given the options you provided, the correct response would be:
3/2