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?

a. -2
b. - 1/2
c. 1/2
d. 2

What is the slope of your given line?

Parallel lines all have the same slope.

To find the slope of a line, we use the formula:

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

Given that the path of the first airplane passes through the coordinates (2,1) and (4,5), we can calculate the slope using these points.

The change in y is equal to the difference between the y-coordinates of the two points: 5 - 1 = 4.
The change in x is equal to the difference between the x-coordinates: 4 - 2 = 2.

So, the slope of the path of the first airplane is 4/2 = 2.

Since we are looking for a line that is parallel to the first airplane's path, it will have the same slope as the first airplane's path.

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

Therefore, the answer is d. 2.