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)

1 answer

From the given graph, we can see that the line passes through the points (0,0), (2,3), and (4,6).

To find the constant of proportionality, we can use the formula y = kx, where k represents the constant of proportionality.

Let's calculate the value of k using the two points (0,0) and (2,3):

k = (y2 - y1) / (x2 - x1)
= (3 - 0) / (2 - 0)
= 3/2

Therefore, the constant of proportionality from the graph is 3/2.
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