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8. The endpoints of GH are G(-8, -9) and H(8,3). Find the coordinates of the midpoint M
a. (-8,-6)
C. (0,–6)
b. (0,-3)
d. (-16,-12)

Respuesta :

Answer:SEE BELOW

Step-by-step explanation:

Average the X and Y coordinates (X,Y)

X = (-8 + 8)/2 = 0

Y = (-9 + 3)/2 = -3

(X,Y) = (0,-3)

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Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given \: points}}} : [/tex]

  • G ( -8 , -9 ) & H ( 8 , 3 )

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

  • Midpoint of the given points

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

Let the point G ( -8 , -9 ) be ( x₁ , y₁ ) & H ( 8 , 3 ) be ( x₂ , y₂)

[tex] \boxed{ \sf{Midpoint = (\frac{x_{1} + x_{2}}{2}} \: , \frac{y_{1} + y _{2}}{2} )}[/tex]

⟶ [tex] \tt{( \frac{ - 8 + 8}{2} \:, \frac{ - 9 + 3}{2} ) }[/tex]

⟶ [tex] \tt{( \frac{0}{2} \: , \frac{ - 6}{2}} )[/tex]

⟶ [tex] \tt{(0 \: ,- 3})[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{(0 \:, - 3)}}}}}}[/tex]

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