Question
what is postive and negitve Quadrant I,
Answers
GPT-4o mini
In the context of the Cartesian coordinate system, the plane is divided into four quadrants based on the signs of the coordinates \((x, y)\):
1. **Quadrant I**: Both \(x\) and \(y\) coordinates are positive. For any point \((x, y)\) in this quadrant, \(x > 0\) and \(y > 0\). This quadrant is located in the upper right section of the coordinate plane.
2. **Quadrant II**: \(x\) is negative and \(y\) is positive. Here, \(x < 0\) and \(y > 0\). This quadrant is located in the upper left section of the coordinate plane.
3. **Quadrant III**: Both \(x\) and \(y\) coordinates are negative. In this quadrant, \(x < 0\) and \(y < 0\). It's located in the lower left section of the coordinate plane.
4. **Quadrant IV**: \(x\) is positive and \(y\) is negative. Thus, \(x > 0\) and \(y < 0\). This quadrant is found in the lower right section of the coordinate plane.
To summarize:
- **Quadrant I**: \(x > 0\), \(y > 0\) (both positive)
- **Quadrant II**: \(x < 0\), \(y > 0\) (negative \(x\), positive \(y\))
- **Quadrant III**: \(x < 0\), \(y < 0\) (both negative)
- **Quadrant IV**: \(x > 0\), \(y < 0\) (positive \(x\), negative \(y\))
1. **Quadrant I**: Both \(x\) and \(y\) coordinates are positive. For any point \((x, y)\) in this quadrant, \(x > 0\) and \(y > 0\). This quadrant is located in the upper right section of the coordinate plane.
2. **Quadrant II**: \(x\) is negative and \(y\) is positive. Here, \(x < 0\) and \(y > 0\). This quadrant is located in the upper left section of the coordinate plane.
3. **Quadrant III**: Both \(x\) and \(y\) coordinates are negative. In this quadrant, \(x < 0\) and \(y < 0\). It's located in the lower left section of the coordinate plane.
4. **Quadrant IV**: \(x\) is positive and \(y\) is negative. Thus, \(x > 0\) and \(y < 0\). This quadrant is found in the lower right section of the coordinate plane.
To summarize:
- **Quadrant I**: \(x > 0\), \(y > 0\) (both positive)
- **Quadrant II**: \(x < 0\), \(y > 0\) (negative \(x\), positive \(y\))
- **Quadrant III**: \(x < 0\), \(y < 0\) (both negative)
- **Quadrant IV**: \(x > 0\), \(y < 0\) (positive \(x\), negative \(y\))