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

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

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

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

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

1 answer

To determine the next point that could be plotted on the graph, we'd need to look at the existing points and their arrangement. Unfortunately, I cannot see the image or any specific points plotted on the coordinate plane. However, I can guide you on how to choose the appropriate next point based on patterns or sequences of the existing points.

  • If the existing points are clustered in a particular area or follow a specific trend (like linear, quadratic, etc.), the next point should logically continue that trend.
  • If there's a pattern in the x-coordinates or y-coordinates, the next point could be determined by extending that pattern.

Based on the given options:

  1. (−4.5, −2.5): This point is out of the x-axis range (0 to 6), so it's not a viable option.
  2. (0, −5): This point falls within the x and y range.
  3. (5, −3.5): This point also falls within the specified range.
  4. (5, −2.5): This point is valid as well.

If the existing points are closer to the origin or generally negative on the y-axis, then either (0, −5) or (5, −2.5) could be the most logical next points to plot.

Ultimately, if I were to suggest a point based solely on being positive and well-aligned with potential trends, I would encourage you to choose a point like (5, −2.5) if it fits the trend based on the information provided.

Please refer back to the graph you have for context—if the points seem to be moving rightward or upward, (5, −2.5) would likely be a good choice. If they tend downward, (0, −5) may be more suitable.

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