Given AB as shown at the right. Find the coordinates of partition point P that divides directed segment AB into a 3:1 ratio.
Answer: ( 0 , - 1 )
Step-by-step explanation:
Let the initial point be A (-8, -5)
And the end point be B (8, 3)
( X2 - X1),(Y2 - Y1) = ( 8- -8),(3- -5)
That is (8+8),(3+5) = 16 , 8
The partitions of the segment AB is into a ratio 3 to 1
(16 × 3, 8 × 3) = 48 , 24
Divide both by 6 to get the Lowest term.
8 , 4
Add the two coordinate to the coordinate at point A
The segiment coordinate point from the initial point will be
(-8+8 , -5+4 ) = ( 0 , - 1 )
Please find the attached file for the figure.
