Use the image to answer the question.

Four points are plotted on a coordinate plane. The x-axis ranges from 0 to 6 in increments of 1. The y-axis ranges from negative 6 to 0 in increments of 1.

What would the next point be on the graph?

(1 point)
Responses

(5,−2.5)
left parenthesis 5 comma negative 2.5 right parenthesis

(5,−3.5)
left parenthesis 5 comma negative 3.5 right parenthesis

(0,−5)
left parenthesis 0 comma negative 5 right parenthesis

(−4.5,−2.5)
left parenthesis negative 4.5 comma negative 2.5 right parenthesis
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1 answer

To determine the next point to plot on the coordinate plane based on the given options, we need to evaluate the coordinates of each option considering the defined range of the x-axis and y-axis.

The options provided are:

  1. (5, -2.5)
  2. (5, -3.5)
  3. (0, -5)
  4. (-4.5, -2.5)

With the x-axis ranging from 0 to 6, points must have an x-coordinate between 0 and 6. This eliminates option 4, as -4.5 is not within the range of the x-axis.

Now, we examine the remaining options:

  • (5, -2.5): The x-coordinate is 5, which is valid, and the y-coordinate is -2.5, which is within the range of the y-axis (-6 to 0).
  • (5, -3.5): The x-coordinate is also 5, which is valid, and the y-coordinate is -3.5, which is also within the y-axis range.
  • (0, -5): The x-coordinate is valid (0 is within the range), and the y-coordinate is -5, which is within the range.

All three options (5, -2.5), (5, -3.5), and (0, -5) can be considered as valid next points on the graph based on range.

Since you are looking for one correct answer, if we assume a sequential nature or a trend based on given other points, for example, if the trend is moving down the y-axis as x increases, then a point like (5, -3.5) could represent a valid subsequent point, as you would continue downward in y while moving to the right on the x-axis.

Therefore, without additional context on other points plotted on the graph, I would recommend selecting (5, -3.5) as a good next point to choose.

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