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
2

To find the slope of a line parallel to the path of the first airplane, we need to find the slope of the line that passes through the given points (2, 1) and (4, 5).

m = (y₂ - y₁) / (x₂ - x₁)
m = (5 - 1) / (4 - 2)
m = 4 / 2
m = 2

Therefore, the slope of the line representing the path of another airplane that is traveling parallel to the first airplane is 2.