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Which of the following points is located 9 units to the right of the y-axis and 8 units below the x-axis?

(a) (9, 8)
(b) (-9, 8)
(c) (9, -8)
(d) (-9, -8)

1 Answer

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Final answer:

The point located 9 units to the right of the y-axis and 8 units below the x-axis is (9, -8), because moving to the right of the y-axis increases the x-coordinate, and moving below the x-axis decreases the y-coordinate.

Step-by-step explanation:

Working with the Cartesian coordinate system involves directions such as vertically upward or downward in the coordinate system, and horizontally to the right or left of the coordinate system. Since the question asks for a point that is 9 units to the right of the y-axis and 8 units below the x-axis, we focus on the direction of movement relative to the axes. Moving 9 units to the right of the y-axis implies a positive x-coordinate, so 'c. Horizontally to the right side of the coordinate system' applies here. Moving 8 units below the x-axis implies a negative y-coordinate, so 'b. Vertically downward in the coordinate system' is applicable. Thus, the correct point with these coordinates is (9, -8).

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