Slope of the line joining the points `(3,-2)` and `(7,-2)` is :

Options

A. `0`
B. undefined
C. `1`
D. `4`

Answer

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

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

### Step 1: Identify the coordinates of the points
Here, we have:
- Point 1: \((x_1, y_1) = (3, -2)\)
- Point 2: \((x_2, y_2) = (7, -2)\)

### Step 2: Substitute the coordinates into the slope formula
Now, we substitute the values into the slope formula:

\[ m = \frac{-2 - (-2)}{7 - 3} \]

### Step 3: Simplify the expression
Now, simplify the numerator and the denominator:

\[ m = \frac{-2 + 2}{7 - 3} = \frac{0}{4} \]

### Step 4: Calculate the slope
Now, calculate the slope:

\[ m = 0 \]

### Conclusion
The slope of the line joining the points (3, -2) and (7, -2) is \( m = 0 \).

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