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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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
9 hours ago

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).