Mathematics: 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)

Find the coordinates of p so that p partitions

danielmurillo28

12.03.2022

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;

$x=\frac{x_{1}+x_{2}}{2},y=\frac{y_{1}+y_{2}}{2}$

∵ 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

∴ $x=\frac{-4+10}{2}=\frac{6}{2}=3$

∴ $y=\frac{15+11}{2}=\frac{26}{2}=13$

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

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