Answer:
Therefore the co-ordinate of the point A is (-4,-3)
Step-by-step explanation:
If A(x₁,y₁) and B(x₂,y₂) is divided by a point in ration m:n internally.
Then the co-ordinate of the point is
.
Given two points are P(-7,-5) and Q(5,3).
A point A on PQ, that divides PQ into a ratio of 1:3.
Since the point A lies on the PQ.
Therefore it divides the line segment PQ internally.
Here x₁= -7,y₁= -5 , x₂= 5,y₂ =3, m=1,n=3
Therefore the co-ordinate of the point A is
![(\frac{5.1+(-7).3}{1+3},\frac{3.1+(-5).3}{1+3})](https://tex.z-dn.net/?f=%28%5Cfrac%7B5.1%2B%28-7%29.3%7D%7B1%2B3%7D%2C%5Cfrac%7B3.1%2B%28-5%29.3%7D%7B1%2B3%7D%29)
![=(\frac{-16}{4},\frac{-12}{4})](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B-16%7D%7B4%7D%2C%5Cfrac%7B-12%7D%7B4%7D%29)
=(-4,-3)