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Use the table to answer the question.

x
y
0 4
1 2
2 0
Graph the points in the coordinate plane from the data values in the table.

(1 point)
Responses

A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 0 comma 4 right parenthesis, left parenthesis 1 comma 2 right parenthesis, and left parenthesis 2 comma 0 right parenthesis.
Image with alt text: A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 0 comma 4 right parenthesis, left parenthesis 1 comma 2 right parenthesis, and left parenthesis 2 comma 0 right parenthesis.

A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 0 comma 4 right parenthesis, left parenthesis 2 comma 2 right parenthesis, and left parenthesis 4 comma 0 right parenthesis.
Image with alt text: A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 0 comma 4 right parenthesis, left parenthesis 2 comma 2 right parenthesis, and left parenthesis 4 comma 0 right parenthesis.

A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 0 comma 2 right parenthesis, left parenthesis 2 comma 1 right parenthesis, and left parenthesis 4 comma 0 right parenthesis.
Image with alt text: A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 0 comma 2 right parenthesis, left parenthesis 2 comma 1 right parenthesis, and left parenthesis 4 comma 0 right parenthesis.

A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 0 comma 4 right parenthesis, left parenthesis negative 1 comma 2 right parenthesis, and left parenthesis negative 2 comma 0 right parenthesis.
Image with alt text: A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 0 comma 4 right parenthesis, left parenthesis negative 1 comma 2 right parenthesis, and left parenthesis negative 2 comma 0 right parenthesis.
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1 answer

To determine the correct graph based on the table provided, we look at the points specified:

  • \( (0, 4) \)
  • \( (1, 2) \)
  • \( (2, 0) \)

Now, let's identify the plotted points in each response:

  1. First Response: \( (0, 4) \), \( (1, 2) \), \( (2, 0) \) - This matches perfectly with our points.

  2. Second Response: \( (0, 4) \), \( (2, 2) \), \( (4, 0) \) - This has incorrect point values.

  3. Third Response: \( (0, 2) \), \( (2, 1) \), \( (4, 0) \) - This has incorrect point values.

  4. Fourth Response: \( (0, 4) \), \( (-1, 2) \), \( (-2, 0) \) - This has incorrect point values for \( x \).

Based on this analysis, the correct response is the first response, which accurately represents the points from the given table.