Question

the line joining the points a(-3 -10) and B (-2,6) is divided by the point P such that PB/AB =1/5 find the coordinates of P

Answer 1

Answer:

Given that PB/AB=1/5 (ie) PB:AB =1:5

From this we get that AB =4

By applying section formula we get ,

(mx1+nx2/m+n,my1+ny1/m+n)

where m=4 and n =1

X1= -2 and X2= -3

y1=6 and y2= -10

substituting the values we get,

=((4)(-2)+(1)(-3)/4+1,(1)(6)+(1)(-10)/4+1))

=(-8-3/5,6-10/5)

=(-11/5,-4/11)

Hence the coordinates of P is (-11/5,-4/5)