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

negative one-half
Image with alt text: negative one-half

one-half
Image with alt text: one-half

2

To find the slope of the line representing the path of another airplane that is parallel to the first airplane, we can use the slope formula:

slope = (y2 - y1) / (x2 - x1)

The coordinates of the two points on the path are (2, 1) and (4, 5).

Using the slope formula, we have:

slope = (5 - 1) / (4 - 2)
slope = 4 / 2
slope = 2

Therefore, the slope of the line representing the path of the other airplane is 2.