Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(4,0) , B(9,10) ; 3 to 2

Answer 1

P)x,y). Then (x - 4)/(9 - x) = 3/2 and (y - 0)/(10 - y) = 3/2.

2x - 8 = 27 - 3x; 5x = 35; x = 7. 2y = 30 - 3y; 5y = 30; y = 6.

P(7, 6)