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
2
2/3
1/2
To find the constant of proportionality from the graph, we can use the equation y = kx, where k represents the constant of proportionality.
Using the given points (0, 0), (2, 3), and (4, 6), we can calculate the values of k by finding the ratio of the y-values to the x-values.
For the point (0, 0), we have 0 = k(0) = 0, which doesn't provide any information about the value of k.
For the point (2, 3), we have 3 = k(2), which simplifies to k = 3/2.
For the point (4, 6), we have 6 = k(4), which simplifies to k = 3/2.
The constant of proportionality from the graph is 3/2.
Therefore, the correct answer is 3/2.