In which quadrant is the ordered pair (−9, −4) located?
The ordered pair (-9, -4) is located in the third quadrant.
To determine the quadrant in which the ordered pair (-9, -4) is located, we need to consider the signs of the x and y coordinates.
The x coordinate (-9) is negative, indicating that it is to the left of the origin on the x-axis.
The y coordinate (-4) is also negative, indicating that it is below the origin on the y-axis.
Therefore, the ordered pair (-9, -4) is located in the third quadrant.
To determine the quadrant in which an ordered pair is located, we need to look at the signs of the x-coordinate (first number) and the y-coordinate (second number).
In this case, the x-coordinate is -9, which is negative, and the y-coordinate is -4, which is also negative.
In the Cartesian coordinate system, the quadrants are defined as follows:
- Quadrant I: x > 0, y > 0
- Quadrant II: x < 0, y > 0
- Quadrant III: x < 0, y < 0
- Quadrant IV: x > 0, y < 0
Since both the x-coordinate and the y-coordinate are negative, the ordered pair (-9, -4) is located in Quadrant III.