Answer:
(-4,-6)
Step-by-step explanation:
Let's summarize and explain the location of each ordered pair on the coordinate plane:
(4,6)
This point is located in Quadrant I because both the x-coordinate (4) and y-coordinate (6) are positive.
(-4,6)
This point is located in Quadrant II because the x-coordinate (-4) is negative and the y-coordinate (6) is positive.
(4,-6)
This point is located in Quadrant IV because the x-coordinate (4) is positive and the y-coordinate (-6) is negative.
(-4,-6)
This point is located in Quadrant III because both the x-coordinate (-4) and y-coordinate (-6) are negative.
Therefore, among the given ordered pairs, [tex] \boxed{(-4, -6)} [/tex] best describes the point plotted in Quadrant III, where both the x and y coordinates are negative.
Understanding the signs of x and y coordinates helps determine the quadrant in which a point is situated on the coordinate plane:
- Quadrant I: (+, +)
- Quadrant II: (-, +)
- Quadrant III: (-, -)
- Quadrant IV: (+, -)