Find the midpoint of AB if
A(-9, 2) and B(5,-4).Midpoint =<
X+ X2
2
y + Y
2
>

Find The Midpoint Of AB IfA(-9, 2) And B(5,-4).Midpoint =&lt;X+ X22y + Y2&gt;

Answers

Answer 1

Given parameters:

 Coordinate of the two points  = A(-9, 2)  and  B(5,-4)

Unknown:

The mid point of AB;

Solution

To find the mid point of line AB, use the expression below;

          [tex]x_{m}[/tex] , [tex]y_{m}[/tex]  = [tex]\frac{x_{1} + x_{2} }{2}[/tex] , [tex]\frac{y_{1} + y_{2} }{2}[/tex]

   x₁ = -9, x₂ = 5

    y₁ = 2, y₂ = -4

 Input the parameters and solve;

         [tex]x_{m}[/tex] , [tex]y_{m}[/tex]  = [tex]\frac{-9 + 5}{2}[/tex]  , [tex]\frac{2 + (-4)} {2}[/tex]  =( -2, -1 )

The coordinate of the mid point is ( -2, -1 )


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