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. A point is shown at 3 increments on the x-axis and 7.25 increments on the y-axis in quadrant 4.

What could possibly be the coordinates of the plotted point?

(1 point)
Responses

(−3, 714)
left parenthesis negative 3 comma 7 Start Fraction one over four End Fraction right parenthesis

(−714, 3)
left parenthesis negative 7 Start Fraction one over four End Fraction comma 3 right parenthesis

(3, −714)
left parenthesis 3 comma negative 7 Start Fraction one over four End Fraction right parenthesis

(3, −712)
left parenthesis 3 comma negative 7 Start Fraction one over two End Fraction right parenthesis
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1 answer

The point described in the question is located at (3, 7.25) in quadrant IV, which means the x-coordinate is positive and the y-coordinate is negative.

Let's analyze the options:

  1. \( (-3, 714) \): Both coordinates are incorrect as x is negative and y is not negative.
  2. \( (-714, 3) \): Both coordinates are incorrect since x is negative and y is positive.
  3. \( (3, -714) \): The x-coordinate is correct (3 is positive), but y is far too negative; this point is not plausible based on the range mentioned.
  4. \( (3, -712) \): The x-coordinate is correct (3 is positive), and while the y-coordinate is also negative, it goes beyond the expected value as given (from -10 to 10).

None of the provided options correctly represent the point (3, -7.25) that corresponds with the information given (a positive x coordinate and a negative y coordinate).

If needing to choose the best response based on the y turning negative while keeping x positive, the closest would be option (3, -714) given that the x coordinate "3" is indeed correct. However, none of the answers given accurately represent the needed coordinates, and there seems to be an inconsistency based on the graph's expected range.

For a perfectly accurate answer, the coordinates of the plotted point should reflect (3, -7.25).