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(Graphing Proportional Relationships MC)

The equation y = 4.5x describes a proportional relationship and is shown in the graph.

graph of a line beginning at point 0 comma 0 and going through 13.5 comma 3

Which of the following statements is true about the graph shown?

The equation y = 4.5x is correctly represented by the graph.
The graph is incorrect and the line should go through the point (3, 13.5).
The graph is incorrect and the line should go through the point (4.5, 4.5).
The graph does not show a proportional relationship.

User Yeri
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1 Answer

2 votes

The correct answer is The graph is incorrect, and the line should go through the point (4.5, 4.5).

To verify if the graph correctly represents the equation y=4.5x, you can substitute the given points into the equation and see if they satisfy it.

The given points are (0, 0) and (13.5, 3). Let's check them:

For (0, 0):

y=4.5×0=0

This checks out.

For (13.5, 3):

y=4.5×13.5=60.75

However, the given point is (13.5, 3), not (13.5, 60.75). This indicates an issue.

Therefore, the graph is incorrect, and the line should not go through the point (13.5, 3) for the equation y=4.5x. The correct answer is:

The graph is incorrect, and the line should go through the point (4.5, 4.5).

(Graphing Proportional Relationships MC) The equation y = 4.5x describes a proportional-example-1
User Sushildlh
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