Question

Need help ASAP !!!!!!

Answer 1

Therefore, Point M( 1 , -2 ) is the Mid point of segment ST.

Explanation:

Given:

Let,

point S( x₁ , y₁) ≡ ( -1 , 1)

point T( x₂ , y₂) ≡ (3 , -5)

Point M( x , y ) is the Mid point of segment ST.

To Find:

Point M( x , y )= ?

Solution:

As Point M( x , y ) is the Mid point of segment ST.

So we have Mid Point Formula as

`Mid\ pointM(x,y)=((x_(1)+x_(2) )/(2), (y_(1)+y_(2) )/(2))`

On substituting the given values in above equation we get

`M(x,y)=(\frac {-1+3}{2},(-5+1)/(2))\\\\M(x,y)=((2)/(2),(-4)/(2)) \\\\M(x,y)=(1,-2)\ \textrm{which the required midpoint}`

Therefore, Point M( 1 , -2 ) is the Mid point of segment ST.