Answer:
Therefore the Mid point M is M( -1 ,7 ).
Step-by-step explanation:
Given:
Let the Two points be
point A( x₁ , y₁) ≡ ( -2 ,-2 )
point B( x₂ , y₂) ≡ ( 4 , -10 )
Let M be the Mid point of AB
To Find:
M(x ,y) = ?
Solution:
M is the Mid point of AB
So by Mid -Point Formula we have
[tex]Mid\ point(AB)=(\dfrac{x_{1}+x_{2} }{2}, \dfrac{y_{1}+y_{2} }{2})[/tex]
Substituting the values we get
[tex]M(x,y)=(\dfrac{-7+5}{2}, \dfrac{5+9}{2})[/tex]
[tex]M(x,y)=(\dfrac{-2}{2}, \dfrac{14}{2})[/tex]
[tex]M(x,y)=(-1 , 7)[/tex]
Therefore the Mid point M is M( -1 ,7 ).
