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?
-2
-1/2
1/2
2
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
slope = (y2 - y1) / (x2 - x1)
For the first airplane's path through the points (2, 1) and (4, 5), we have:
slope = (5 - 1) / (4 - 2) = 4 / 2 = 2
Since the second airplane is traveling parallel to the first, it will have the same slope.
Therefore, the slope of the line representing the path of the second airplane is 2.