Question

if A and B are (-2,-2)and(2,-4) respectively,find the coordinates of P such that AP =3/7AB and P lies on the line segment AB

​pls give step by step explanation

Answer 1

Answer:

given

AP = 3/7AB

AP = 3/7(AP+PB). (P lies on the line AB)

AP = 3/7AP + 3/7PB

AP - 3/7AP = 3/7PB

4/7AP = 3/7PB

AP : PB = 3:4 ( and P divides internally)

coordinate of P

= (3*2+4*-2)/(3+4), (3*-4+4*-2)/(3+4)

= (6-8)/7, (-12-8)/7

= -2/7, -20/7