Point p lies on the directed line segment from a(2,3) to b(8,0) and partitions the segment in the ratio 22 to 11. what are the coordinates of point p ?

The coordinates of point P is 6 , 1

Step-by-step explanation:

Given as :

The point P lies on directed line segment from points A and B

A = ( ,   ) = (2 ,3)

B = ( ,    ) =  (8 , 0)

The partitions segments in the ratio = m : n = 22 : 11

Let the coordinate of point P = x , y

Now, According to question

x =

y =

Now

x =

Or, x =

Or, x =  

Or, x =

∴ x = 6

Again

y =

Or, y =

Or, y =  

Or, y =

∴ y = 1

So, The coordinates of point P = x , y = 6 , 1

Hence, The coordinates of point P is 6 , 1  Answer