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? (1 point) Responses –2 –2 Image with alt text: negative one-half Image with alt text: one-half 2
The slope of a line can be found using the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
For the given line segment XY, the change in y-coordinates is 5 - 1 = 4 and the change in x-coordinates is 4 - 2 = 2.
Therefore, the slope of the line representing the path of the first airplane is 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.