Task 1 (P2) You are required to help in designing a safe landing runaway for planes in the airport. a) If the landing runaway for one of the planes passes through the points A(2,9) and B(4,3). Calculate the gradient of this runaway. 15 ty 12 b) Write the equation of the line that represents the correct runaway of this plane. c) If the plane is on the y - axis. At which point should the plane start its safe landing.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 25E
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Task 1 (P2)
You are required to help in designing a safe landing runaway for planes in the airport.
a) If the landing runaway for one of the planes passes through the points A(2,9) and B(4,3).
Calculate the gradient of this runaway.
15 ty
12
b) Write the equation of the line that represents the correct runaway of this plane.
c) If the plane is on the y – axis. At which point should the plane start its safe landing.
Transcribed Image Text:Task 1 (P2) You are required to help in designing a safe landing runaway for planes in the airport. a) If the landing runaway for one of the planes passes through the points A(2,9) and B(4,3). Calculate the gradient of this runaway. 15 ty 12 b) Write the equation of the line that represents the correct runaway of this plane. c) If the plane is on the y – axis. At which point should the plane start its safe landing.
Expert Solution
Step 1

we are required to help in designing a safe landing runaway for planes in the airport.

(a)we have to calculate the gradient of the runaway if the landing runaway for one of the plane passes through the points 

A(2,9) and B(4,3)

(b)we have to write the equation of the line that represents the correct runaway of this plane.

(c) if the plane is on the y axis. At which point should the plane start its safe landing.

Step 2

(a)we have to calculate the gradient of the runaway if the landing runaway for one of the plane passes through the points A(2,9) and B(4,3).

as we know that the gradient m of the line joining the points Px1y1 and Qx2,y2 is given by:

m=y2-y1x2-x1

therefore the gradient m of the runaway passing through the points A(2,9) and B(4,3) is:

m=y2-y1x2-x1=3-94-2=-62=-3

therefore the gradient of the runaway passing through the points A(2,9) and B(4,3) is -3

 

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