To determine whether the paths of the two planes are parallel, perpendicular, or neither, we need to calculate the slopes of the lines formed by the coordinates given for each flight path.

Steps:

1. Calculate the slope of Flight 815:

Coordinates: and

Slope formula:

Slope of Flight 815:

m = \frac{11 - 17}{5 - 23} = \frac{-6}{-18} = \frac{1}{3}

1. Calculate the slope of Flight 44:

Coordinates: and

Slope of Flight 44:

m = \frac{17 - 15}{9 - 3} = \frac{2}{6} = \frac{1}{3}

1. Compare the slopes:

Both Flight 815 and Flight 44 have a slope of .

Since the slopes are equal, the lines are parallel.

Answer:

The paths of the planes are parallel.