Question
In which quadrant is the ordered pair (5, 9) located? Responses II II - no response given IV IV - no response given I I - no response given III
Answers
GPT-4o mini
The ordered pair (5, 9) consists of the coordinates \(x = 5\) and \(y = 9\).
In a Cartesian coordinate system:
- Quadrant I contains points where \(x > 0\) and \(y > 0\).
- Quadrant II contains points where \(x < 0\) and \(y > 0\).
- Quadrant III contains points where \(x < 0\) and \(y < 0\).
- Quadrant IV contains points where \(x > 0\) and \(y < 0\).
Since both \(x\) and \(y\) are positive (5 and 9 respectively), the ordered pair (5, 9) is located in **Quadrant I**.
In a Cartesian coordinate system:
- Quadrant I contains points where \(x > 0\) and \(y > 0\).
- Quadrant II contains points where \(x < 0\) and \(y > 0\).
- Quadrant III contains points where \(x < 0\) and \(y < 0\).
- Quadrant IV contains points where \(x > 0\) and \(y < 0\).
Since both \(x\) and \(y\) are positive (5 and 9 respectively), the ordered pair (5, 9) is located in **Quadrant I**.