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Given the coordinates of a point in the fourth quadrant (6, -4), what could be its coordinates?

A. (6, 4)
B. (-4, 6)
C. (-6, -4)
D. (6, -4)

1 Answer

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Final answer:

The correct coordinates that could correspond to a point in the fourth quadrant with coordinates (6, -4) are option D: (6, -4).

Thus option d is correct.

Step-by-step explanation:

In a Cartesian coordinate system, the signs of coordinates in different quadrants follow specific rules. The fourth quadrant represents positive x-values and negative y-values. For the given point (6, -4), the positive x-value aligns with option D's x-coordinate of 6, confirming its placement in the fourth quadrant. The negative y-value matches the negative y-coordinate in option D, affirming its accuracy. Thus, (6, -4) corresponds to option D.

The fourth quadrant lies to the right of the y-axis and below the x-axis. The x-coordinate determines the horizontal position, while the y-coordinate dictates the vertical position of a point. In this scenario, the x-value of 6 places the point on the positive side of the x-axis, and the y-value of -4 positions it below the x-axis. Option D (6, -4) matches these criteria, indicating its alignment with a point in the fourth quadrant.

Understanding the quadrant system is crucial in determining the placement of coordinates. The fourth quadrant specifically encompasses positive x-values and negative y-values. Therefore, when given coordinates like (6, -4), identifying the correct quadrant involves recognizing the signs of the x and y-values, confirming that option D is the accurate representation of the point.

Therefore option d is correct.

User DFedor
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