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;
[tex]x=\frac{x_{1}+x_{2}}{2},y=\frac{y_{1}+y_{2}}{2}[/tex]
∵ 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
∴ [tex]x=\frac{-4+10}{2}=\frac{6}{2}=3[/tex]
∴ [tex]y=\frac{15+11}{2}=\frac{26}{2}=13[/tex]
∴ The coordinates of point P are (3 , 13)
