Question

If A and B are (-2,-2) and ( 2,-4), retrospectively, find the coordinate of P such that AP =3/7AB and p lies on the line segment AB.............plz provide solution of this question with appropriate steps

Answer 1

Answer:

P = ( -2/7,  -20/7 )

Step-by-step explanation:

To have AP = (3/7) AB, the point P divides the segment AB in the ratio 3 : 4.

Thus

P = ( 4A + 3B ) / ( 4 + 3 )

  = (  ( 4×-2 + 3×2 ) / 7,  ( 4×-2 + 3×-4 ) / 7  )

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

  = ( -2/7,  -20/7 )

In general

The rule is that the point

P = ( qA + pB ) / ( q + p )

divides AB in the ratio p : q.

Answer 2

Answer:

Step-by-step explanation:

Hope it's clear to u!!