In which of the following quadrants does the point (-7, -1) lie?

Options

A. I
B. II
C. III
D. IV

Answer

To determine in which quadrant the point (-7, -1) lies, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Coordinates**: The point given is (-7, -1). Here, -7 is the x-coordinate and -1 is the y-coordinate.

2. **Understand the Quadrants**:
- **First Quadrant**: Both x and y are positive (x > 0, y > 0).
- **Second Quadrant**: x is negative and y is positive (x < 0, y > 0).
- **Third Quadrant**: Both x and y are negative (x < 0, y < 0).
- **Fourth Quadrant**: x is positive and y is negative (x > 0, y < 0).

3. **Analyze the Coordinates**:
- Since the x-coordinate is -7 (which is negative) and the y-coordinate is -1 (which is also negative), we can conclude that both coordinates are negative.

4. **Determine the Quadrant**:
- Based on the analysis, since both coordinates are negative, the point (-7, -1) lies in the **Third Quadrant**.

5. **Final Answer**: The point (-7, -1) lies in the **Third Quadrant**.