Find the slope of the line parallel to AB if :
` A = (-2, 4) and B = (0, 6)`

Answer

To find the slope of the line parallel to line AB, we first need to calculate the slope of line AB using the coordinates of points A and B.

### Step-by-step Solution:

1. **Identify the coordinates of points A and B**:
- Point A = (-2, 4)
- Point B = (0, 6)

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

3. **Assign the coordinates**:
- Let \((x_1, y_1) = (-2, 4)\) (Point A)
- Let \((x_2, y_2) = (0, 6)\) (Point B)

4. **Substitute the coordinates into the slope formula**:
\[ m = \frac{6 - 4}{0 - (-2)} \]

5. **Simplify the expression**:
- Calculate the numerator: \(6 - 4 = 2\)
- Calculate the denominator: \(0 - (-2) = 0 + 2 = 2\)
\[ m = \frac{2}{2} = 1 \]

6. **State the slope of line AB**:
The slope of line AB is \(1\).

7. **Determine the slope of the parallel line**:
Since parallel lines have the same slope, the slope of the line parallel to AB is also \(1\).

### Final Answer:
The slope of the line parallel to AB is \(1\).