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?
+128406
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
