Question

Find the co-ordinate of the point P on the line segment joining points A(1,2) and B(6,7) such that AP=2/5 of AB.​

Answer 1

Ratio = 2/5.

Therefore,

m1=2

m2=5

x coordinate of P

=(m1*x2 + m2*x1)/(m1+m2)

=(2*2+5*1)/(2+5)

=9/7.

y coordinate of P

=(m1*y2 + m2*y1)/(m1+m2)

=(2*7 + 5*6)/(2+5)

=44/7

Therefore,

p=(9/7,44/7)