Question

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

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

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

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

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

To find the possible coordinates of the plotted point at (3, 7.25) in quadrant 4, we need to analyze the given options with respect to the value of the x-coordinate (3) and the y-coordinate (7.25).

In quadrant 4, the x-coordinate is positive and the y-coordinate is negative. Therefore, we are looking for a point with x = 3 and y < 0.

Let's examine the options:

  1. (−714, 3): This point is in the second quadrant (negative x, positive y), which is incorrect.

  2. (3, −712): This point has x = 3 (correct) and y = −712 (negative, correct). This is a valid option.

  3. (3, −714): This point has x = 3 (correct) and y = −714 (negative, correct). This is also a valid option.

  4. (−3, 714): This point is in the second quadrant (negative x, positive y), which is incorrect.

From the options presented, both option 2 and option 3 are valid considering that they both satisfy the conditions of quadrant 4 (positive x and negative y). However, only option 2 has the negative y value of approximately -7, which fits the initial detail provided that the plotted point is at 7.25 increments on the y-axis.

As the initial point is given as (3, 7.25), which translates to (3, -7.25) in quadrant 4, the best matching coordinates among the options is:

(3, −712).

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