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Sagot :
Answer:
(1, - 7 )
Step-by-step explanation:
using the midpoint formula
given endpoints (x₁, y₁ ) and (x₂, y₂ ) , then
midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = A (3, - 12 ) and (x₂, y₂ ) = B (- 1, - 2 )
midpoint = ( [tex]\frac{3-1}{2}[/tex] , [tex]\frac{-12-2}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex] , [tex]\frac{-14}{2}[/tex] ) = (1, - 7 )
Step-by-step explanation:
[tex] x_{m} , y_{m} \: = ( \frac{x _{1} + x_{2} }{2} ,\frac{y _{1} + y_{2} }{2}) \\ [/tex]
x1 = 3, x2 = (-1)
y1 = (-12), y2 = (-2)
[tex] x_{m} , y_{m} \: = ( \frac{3+ ( - 1) }{2} ,\frac{( - 12)+ ( - 2) }{2}) \\ [/tex]
[tex]x_{m} , y_{m} \: = ( \frac{3 - 1 }{2} ,\frac{( - 12) - 2 }{2}) \\ [/tex]
[tex]x_{m} , y_{m} \: = ( \frac{2 }{2} ,\frac{- 14 }{2}) \\ [/tex]
[tex]x_{m} , y_{m} \: = 1 ,( - 7)[/tex]
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