You are a part of air traffic control. On one fateful night, a plane communicates that it has lost both engines and is now gliding to reach the airport. You act fast and use GPS to track the position of the plane relative to the airport. At first, they are at 12200 m above the ground and 144000 m to the right of the airport. A moment later, you track that they are at 10200 m above the ground and 120000 m to the right of the airport.

What is the slope of the aircraft’s descent?

Create a linear equation modeling the descent of the aircraft. Your final answer should be in gradient-intercept form.

Based on its current descent path, will the aircraft have enough elevation to land safely at the airport? Explain how you know.

The pilot and copilot are calculating their current position in the sky by using the linear equation you created. They know they are 9100 m above the ground, how far to the right are they from the airport?

A different plane with radio issues was not aware of what was occurring and is also attempting to land at the same airport at the same time! They inform you that they are approaching at 5x-6y+120=0.

Is there a chance that the planes will crash mid flight? How do you know?