Use the image to answer the question.

A line passes through the following plotted points: left parenthesis 0 comma 0 right parenthesis; left parenthesis 2 comma 14 right parenthesis; left parenthesis 4 comma 28 right parenthesis; left parenthesis 6 comma 42 right parenthesis; left parenthesis 8 comma 56 right parenthesis; left parenthesis 10 comma 70 right parenthesis; and left parenthesis 12 comma 84 right parenthesis.



Using the points shown in the graph, identify the constant of proportionality for this graph.

(1 point)
$$

1 answer

To find the constant of proportionality for this graph, we can choose any two points and calculate their ratio. Let's choose the points (2, 14) and (4, 28).

The change in y-coordinates is 28 - 14 = 14, and the change in x-coordinates is 4 - 2 = 2.

The ratio of the change in y-coordinates to the change in x-coordinates is 14/2 = 7.

Therefore, the constant of proportionality for this graph is 7.
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