segment XY represents the path of an airplane that passes through the coordinates (2, 1) and (4, 5). what is the slope of a line that represents the path of another airplane that is traveling parallel to the first airplane ?

The slope of a line is found by the formula:

slope = (change in y) / (change in x)

To find the slope of segment XY, we use the coordinates (2, 1) and (4, 5).

(change in y) = 5 - 1 = 4
(change in x) = 4 - 2 = 2

slope = 4 / 2 = 2

Since the second airplane is traveling parallel to the first airplane, it will have the same slope. Therefore, the slope of the line representing the path of the second airplane is also 2.