Question

Midpoint -7,5 and 5,9

Answer 1

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

$Mid\ point(AB)=(\dfrac{x_{1}+x_{2} }{2}, \dfrac{y_{1}+y_{2} }{2})$

Substituting the values we get

$M(x,y)=(\dfrac{-7+5}{2}, \dfrac{5+9}{2})$

$M(x,y)=(\dfrac{-2}{2}, \dfrac{14}{2})$

$M(x,y)=(-1 , 7)$

Therefore the Mid point M is M( -1 ,7 ).