Question

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

Answer 1

To find the slope of a line parallel to another line, we use the fact that parallel lines have the same slope.

The slope of the line passing through the coordinates (2,1) and (4,5) can be found using the formula:

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 traveling parallel to the first airplane is also 2.

Answer: D. 2