Answer :

⇒ 9 AP = 2 AB

⇒ 9 AP = 2(AP + PB)

⇒ 9AP = 2AP + 2PB

⇒ 9AP – 2AP = 2PB

⇒ 7AP = 2 PB

⇒

AP: PB = 7:2

So, P divides the line segment in the ratio is 2:7

Section Formula internally =

Where l = 2 and m = 7

A (–6, –5) and B (–6, 4)

=

=

=

= (–6, –3)

Therefore, the point P is (–6, –3).

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