A directed line segment from A (-2,-2) to B is divided into the ratio 4 to 2 by P (4.67,-2). What are the coordinates of point B?

Question

(Hint: work backwards)

Answer 1

Hi Slanders, point B is on the directed line segment, therefore, point B has the coordinates: (x, -2). All we have to do is find the x-coordinate of point B.

 

→              →

AP = 4/2 * PB

 

→

AP = (4.67 - (-2), -2 - (-2))= (6.67, 0)

 

→

PB = 4/2 * (x - 4.67, -2 - (-2)) = 2 * (x - 4.67, 0)

 

Substituting:

 

(6.67, 0) = 2 * (x - 4.67, 0)

 

Solve for x:

 

6.67 =2x - 9.33

 

Add 9.33 to both sides:

 

16 = 2x

 

Divide both sides by 2:

 

x = 8

 

Point B has coordinates: (8, -2)

 

Questions?