Question

10. Find the coordinates of a point P on the line segment joining A(1, 2) and B(6, 7) such that . 5AP = 2AB​

Answer 1

given:

line a(1,2) to b(6,7)

also

ap:ab = 2:5

therefor

ap:on = 2:3

so by section formula

X,y = (2*6+3*1.)/(2+3),(2*4+2*7)/(2+3)

Answer :

p(X,y) = 3,4