The slope of a line passing through the points A(4, -3) and B(6, -3) is

Options

A. 4
B. 0
C. 5
D. None of the above

Answer

To find the slope of the line passing through the points A(4, -3) and B(6, -3), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Coordinates**:
- Point A has coordinates \( (x_1, y_1) = (4, -3) \)
- Point B has coordinates \( (x_2, y_2) = (6, -3) \)

2. **Use the Slope Formula**:
- The formula for the slope \( m \) of a line passing through two points is given by:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

3. **Substitute the Coordinates into the Formula**:
- Substitute \( y_1 = -3 \), \( y_2 = -3 \), \( x_1 = 4 \), and \( x_2 = 6 \) into the slope formula:
\[ m = \frac{-3 - (-3)}{6 - 4} \]

4. **Simplify the Numerator**:
- The numerator becomes:
\[ -3 + 3 = 0 \]
- So we have:
\[ m = \frac{0}{6 - 4} \]

5. **Calculate the Denominator**:
- The denominator is:
\[ 6 - 4 = 2 \]
- Therefore, we have:
\[ m = \frac{0}{2} \]

6. **Final Calculation**:
- Since \( \frac{0}{2} = 0 \), the slope \( m \) is:
\[ m = 0 \]

### Conclusion:
The slope of the line passing through the points A(4, -3) and B(6, -3) is **0**.

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