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In which quadrant x coordinate is negati...

In which quadrant x coordinate is negative ?

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To determine in which quadrants the x-coordinate is negative, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Coordinate System**: - The coordinate plane consists of two axes: the x-axis (horizontal) and the y-axis (vertical). The point where these two axes intersect is called the origin (0,0). 2. **Identifying the Quadrants**: - The coordinate plane is divided into four quadrants: - **1st Quadrant**: (x > 0, y > 0) - **2nd Quadrant**: (x < 0, y > 0) - **3rd Quadrant**: (x < 0, y < 0) - **4th Quadrant**: (x > 0, y < 0) 3. **Analyzing the x-coordinate**: - We are interested in the cases where the x-coordinate is negative (x < 0). This means we will be looking at the left side of the y-axis. 4. **Considering the y-coordinate**: - The y-coordinate can be either positive or negative. Therefore, we will analyze two scenarios: - **Case 1**: x < 0 and y > 0 (This point will be in the 2nd Quadrant) - **Case 2**: x < 0 and y < 0 (This point will be in the 3rd Quadrant) 5. **Conclusion**: - From the analysis, we find that when the x-coordinate is negative, the points can either lie in the 2nd Quadrant (where y is positive) or in the 3rd Quadrant (where y is negative). ### Final Answer: The quadrants where the x-coordinate is negative are the **2nd Quadrant** and the **3rd Quadrant**. ---
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