What is the slope of a line parallel to line L, which passes through (4, 7) and (6, 13)?

To determine the slope of the line that passes through the points (4, 7) and (6, 13), we can use the formula for the slope, which is defined as the change in y divided by the change in x.

Calculating the slope:

1. Identify the coordinates of the two points: (x₁, y₁) = (4, 7) and (x₂, y₂) = (6, 13).

2. Calculate the difference in y-coordinates: y₂ - y₁ = 13 - 7 = 6.

3. Calculate the difference in x-coordinates: x₂ - x₁ = 6 - 4 = 2.

4. Now, apply the slope formula: slope = (y₂ - y₁) / (x₂ - x₁) = 6 / 2 = 3.

Since parallel lines share the same slope, the slope of any line parallel to line L will also be 3. Hence, the correct answer is the one that gives the slope of the line as 3.