Question

if A and B are A(-3,2),B(5,6) recpectiively the, find the coorfinate of P such that AP=2/7 AB and P liex on the line segment AB.

Answer 1

AP=2/7AB
AP/AB=2/7
AP=2 AB=7
PB=AB-AP
=7-2
=5
m1: m2=2: 5
A(-3, 2) =(x1, y1)
B(5, 6) =(x2, y2) P(x, y)
By section formula,
x=m1x2+m2x1/m1+m2
=2*5+5*-3/2+5
=10+(-15) /7
=(-5) /7
y=m1y2+m2y1/m1+m2
=2*6+5*2/2+5
=12+10/7
=22/7
The coordinates of point p are:
p(-5/7, 22/7)




hope it will help