Point P is on the directed line segement from point X(-6, -2) to point Y(6,7) and devided the segement in thre ratio 1:5. What are the coordinates of point P?

Guest Jun 15, 2017

edited by
Guest
Jun 16, 2017

edited by Guest Jun 16, 2017

edited by Guest Jun 16, 2017

#1**+1 **

P is 1/6 of the distance between X and Y

We can find the point as follows :

[ (1/6)(6 - - 6) + -6 , (1/6)( 7 - -2) + -2 ]

[ (1/6)(12) - 6, (9/6) - 2 ] =

[ -4, - 1/2 ] = P

Proof...

Distance between X and P (-6, -2) and (-4, -1/2) = 2.5

Distance between P and Y (-4, -1/2) and ( 6,7) = 12.5

And XP : PY = 2.5 : 12.5 = 1 : 5

CPhill
Jun 16, 2017