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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