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Use the image to answer the question.

A graph of x versus y ranges from negative 10 to 10 in increments of 1 on both axes. Points A through F are plotted. Points A and B are in quadrant 2. Point A is shown at 7 increments on the x-axis and 10 increments on the y-axix. Point B is shown at 10 increments on the x-axis and 7 increments on the y-axis. Points C and D are plotted in quadrant 3. Point C is shown at 10 increments on the x-axis and 7 increments on the y-axis. Point D is shown at 7 increments on the x-axis and 10 increments on the y-axis. Points E and F are plotted in quadrant 4. Point E is shown at 7 increments on the x-axis and 10 increments on the y-axis. Point F is shown at 9 increments on the x-axis and 7 increments on the y-axis.

Which letter represents the point (−7, −10)
?

(1 point)
Responses

C
C

E
E

D
D

B
B
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1 answer

To determine which letter represents the point \( (-7, -10) \), we need to analyze the provided coordinates of each point mentioned:

  • Point A is at \( (7, 10) \) in quadrant 2.
  • Point B is at \( (10, 7) \) in quadrant 2.
  • Point C is at \( (10, -7) \) in quadrant 3.
  • Point D is at \( (7, -10) \) in quadrant 3.
  • Point E is at \( (7, -10) \) in quadrant 4.
  • Point F is at \( (9, -7) \) in quadrant 4.

Now looking for the point \( (-7, -10) \):

  • The x-coordinate \(-7\) indicates it lies in quadrant 3 or 4 since both quadrants have negative y-values.
  • However, none of the points listed strictly shows \(-7\) for the x-coordinate.

We can see that Point D will refer to coordinates \( (7, -10) \), which is not the same. Point E does have negative y-value but has a positive x-value.

Given that none of these points correspond to the exact coordinates of \( (-7, -10) \), I assume there may be a misunderstanding in the question provided.

However, based on the naming and provided coordinates, it seems possible that none of the letters A-F corresponds to \( (-7, -10)\). If you still want to choose based on the closest quadrant, the most reasonable point would be D.

If you meant to evaluate based on visual proximity or any other graphical point referenced in your original image, do let me know!