Segment XY represents the path of an airplane that passes through the coordinates (3, 5)

Question

and (12, −1)
. 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

−32
negative 3 halves

23
2 thirds

−23
negative 2 thirds

32

Answer 1

The slope of a line can be found using the formula:

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

For the first airplane, the change in y-coordinates is -1 - 5 = -6 and the change in x-coordinates is 12 - 3 = 9.

So, the slope of the first airplane's path is:

slope = (-6) / (9) = -2/3

Since the second airplane is traveling parallel to the first airplane, it will have the same slope. Therefore, the slope of the line representing the path of another airplane is -2/3.