In which quadrant is the ordered pair (−9, −4) located?
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The ordered pair (-9, -4) is located in the third quadrant (lll).
To determine which quadrant the ordered pair (-9, -4) is located, we need to understand the signs of the x-coordinate and y-coordinate.
In this case, the x-coordinate is -9, which is negative, and the y-coordinate is -4, which is also negative.
Based on the signs, we know that:
- When the x-coordinate is negative and the y-coordinate is negative, the point is located in the third quadrant (lll).
Therefore, the ordered pair (-9, -4) is located in the third quadrant (lll).
To determine the quadrant in which an ordered pair is located, you need to look at the signs of the x and y coordinates. Here's how you can do it:
1. Look at the x-coordinate (-9): The x-coordinate is negative, indicating that the point lies to the left of the origin (on the left side of the x-axis).
2. Look at the y-coordinate (-4): The y-coordinate is also negative, indicating that the point lies below the origin (below the y-axis).
Based on this information, we can conclude that the ordered pair (-9, -4) is located in the third quadrant (III). In the coordinate plane, the third quadrant is located below the x-axis and to the left of the y-axis.