Question

Help! Find the coordinates of P so that P partitions the segment AB in the ratio 6:2 if A(−4,12) and B(9,−4).

A. (-16, 13)
B. (9.75, -12)
C. (13.75, -24)
D. (5.75, 0)

Answer 1

(5.75,0)

Let A be (x1,y1) , B be (x2,y2) , P be (x,y) and the ratio be m:n

Formula is,

x=(x2*m+x1*n)/(m+n)

y=(y2*m+y1*n)/(m+n)