Point `Q(-3,-4)` lies in which quadrant?

Options

A. First
B. Third
C. Second
D. Fourth.

Answer

To determine in which quadrant the point Q(-3, -4) lies, we can follow these steps:

### Step 1: Understand the Coordinate System
The coordinate system is divided into four quadrants:
- **First Quadrant (I)**: Both x and y coordinates are positive (x > 0, y > 0).
- **Second Quadrant (II)**: x is negative and y is positive (x < 0, y > 0).
- **Third Quadrant (III)**: Both x and y coordinates are negative (x < 0, y < 0).
- **Fourth Quadrant (IV)**: x is positive and y is negative (x > 0, y < 0).

### Step 2: Identify the Coordinates of Point Q
The coordinates of point Q are given as (-3, -4). Here:
- The x-coordinate is -3 (which is negative).
- The y-coordinate is -4 (which is also negative).

### Step 3: Determine the Quadrant
Since both the x-coordinate and y-coordinate of point Q are negative, we can conclude that point Q lies in the **Third Quadrant (III)**.

### Final Answer
Point Q(-3, -4) lies in the **Third Quadrant**.

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