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 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 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 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.

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.
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1 answer

To graph the points from the provided table, we focus on the x and y coordinates:

  • For \( x = 0 \), \( y = 4 \) (point: \( (0, 4) \))
  • For \( x = 1 \), \( y = 2 \) (point: \( (1, 2) \))
  • For \( x = 2 \), \( y = 0 \) (point: \( (2, 0) \))

Now, let's assess the options given:

  1. First option: \( (0, 2) \), \( (2, 1) \), and \( (4, 0) \) - this does not match with our points.

  2. Second option: \( (0, 4) \), \( (2, 2) \), and \( (4, 0) \) - this does not match as well.

  3. Third option: \( (0, 4) \), \( (-1, 2) \), and \( (-2, 0) \) - this does not match our points.

  4. Fourth option: \( (0, 4) \), \( (1, 2) \), and \( (2, 0) \) - this matches exactly with the points from our table.

Thus, the correct response is:

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.