In Quadrant IV, the coordinates are represented as (positive, negative). This means that for a point to be in Quadrant IV, the x-coordinate must be positive and the y-coordinate must be negative.
The ordered pair given is (x, −9). Here, the y-coordinate is −9, which is negative.
For the point to be in Quadrant IV, the x-coordinate must be positive.
Now, let's examine the options:
- −1: This is negative.
- 0: This is neither positive nor negative.
- −7: This is negative.
- 8: This is positive.
Based on this understanding, the only value of x from the options provided that can place the ordered pair (x, −9) in Quadrant IV is:
8.