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## find the coordinates of P so that P partitions the segment AB in the ratio 1:1 is A(-4,15) and B(10,11)

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Answer:The coordinates of point P are (3 , 13)

Step-by-step explanation:* Lets explain how to solve the problem

– Point P divides the segment AB in the ratio 1 : 1

– The ratio 1 : 1 means divide the segment into two equal parts

– Then P is the mid-point of segment AB

– If (x , y) are the coordinates of the mid-point of a segments whose

endpoints are (x1 , y1) and (x2 , y2) then;

∵ The coordinates of point A is (-4 , 15)

∵ The coordinates of point B is 10 , 11)

– Let point A is (x1 , y1) , point B is (x2 , y2) and point P is (x , y)

∵ x1 = -4 , x2 = 10 and y1 = 15 , y2 = 11

∴

∴

∴ The coordinates of point P are (3 , 13)