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
To identify the constant of proportionality from the graph, we can use the formula:
constant of proportionality = y-coordinate of a point / x-coordinate of the same point.
Using the given points in the graph, we can calculate the constant of proportionality as follows:
For the point (2, 3):
constant of proportionality = 3 / 2 = 1.5
For the point (4, 6):
constant of proportionality = 6 / 4 = 1.5
Therefore, the constant of proportionality from the graph is 1.5.
The correct answer is: Start Fraction 3 over 2 End Fraction