Respuesta :

Answer:

(- 2, 4 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) , then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A (4, 6 ) and (x₂, y₂ ) = B (- 8, 2 )

midpoint = ( [tex]\frac{4-8}{2}[/tex] , [tex]\frac{6+2}{2}[/tex] ) = ( [tex]\frac{-4}{2}[/tex] , [tex]\frac{8}{2}[/tex] ) = (- 2, 4 )

Midpoint be p(x,y)

P(x,y)=

[tex]\\ \sf\longmapsto \left(\dfrac{4-8}{2},\dfrac{6+2}{2}\right)[/tex]

[tex]\\ \sf\longmapsto \left(\dfrac{-4}{2},\dfrac{8}{2}\right)[/tex]

[tex]\\ \sf\longmapsto (-2,4)[/tex]

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