Find the slope of the line passing through the points :
`(3,-2)` and `(7,-2)`

Options

A. 0
B. 1
C. 3
D. 4

Answer

To find the slope of the line passing through the points \( (3, -2) \) and \( (7, -2) \), we can use the formula for the slope \( m \) of a line that passes through two points \( (x_1, y_1) \) and \( (x_2, y_2) \):

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

### Step-by-Step Solution:

1. **Identify the coordinates of the points**:
- Let \( (x_1, y_1) = (3, -2) \)
- Let \( (x_2, y_2) = (7, -2) \)

2. **Substitute the values into the slope formula**:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - (-2)}{7 - 3} \]

3. **Simplify the numerator**:
\[ m = \frac{-2 + 2}{7 - 3} = \frac{0}{4} \]

4. **Calculate the slope**:
\[ m = 0 \]

### Conclusion:
The slope of the line passing through the points \( (3, -2) \) and \( (7, -2) \) is \( 0 \).