Graphs of Proportional Relationships Quick Check
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Question
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
12
Start Fraction 1 over 2 End Fraction
32
Start Fraction 3 over 2 End Fraction
2
2
23
Start Fraction 2 over 3 End Fraction
The constant of proportionality from the graph can be found by calculating the ratio of the change in y-coordinates to the change in x-coordinates for any two points on the line.
Using the given plotted points (0, 0) and (2, 3), the change in y-coordinates is 3 - 0 = 3, and the change in x-coordinates is 2 - 0 = 2. Therefore, the ratio is 3/2.
Hence, the correct answer is: Start Fraction 3 over 2 End Fraction.