Which of the following can be the value of X so that the order pair (x, -9) is located in quadrant IV A 8 B 0 C -7 D -1

Answer 1

In the coordinate system, the location of a point is determined by the signs of its \( x \) and \( y \) coordinates.

• Quadrant I has both \( x > 0 \) and \( y > 0 \).
• Quadrant II has \( x < 0 \) and \( y > 0 \).
• Quadrant III has both \( x < 0 \) and \( y < 0 \).
• Quadrant IV has \( x > 0 \) and \( y < 0 \).

For the ordered pair \( (x, -9) \) to be located in quadrant IV, the \( y \) coordinate, which is \(-9\), is already negative. Therefore, we need \( x \) to be positive.

Let's analyze the provided options:

A. \( 8 \) (Positive, can be in quadrant IV) B. \( 0 \) (Not positive, cannot be in quadrant IV) C. \( -7 \) (Negative, cannot be in quadrant IV) D. \( -1 \) (Negative, cannot be in quadrant IV)

The only value of \( x \) that can place the ordered pair \( (x, -9) \) in quadrant IV is option A (8).