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
23
Start Fraction 2 over 3 End Fraction
12
Start Fraction 1 over 2 End Fraction
32
Start Fraction 3 over 2 End Fraction
2
The constant of proportionality can be found by looking at the slope of the line. The slope is calculated by taking the difference in the y-coordinates and dividing it by the difference in the x-coordinates.
Using the points (0,0) and (2,3), the slope is (3-0)/(2-0) = 3/2.
Therefore, the constant of proportionality is 3/2.