Suppose the midpoint of XY is M ;
So ;
[tex] \frac{x + y}{2} = m \\ [/tex]
Multiply sides by 2
[tex]x + y = 2m[/tex]
( x , y ) + ( 4 , - 8 ) = ( 2 × 3 , 2 × -5 )
( x , y ) + ( 4 , - 8 ) = ( 6 , -10 )
( x , y ) = ( 6 , -10 ) - ( 4 , - 8 )
( x , y ) = ( 6 - 4 , -10 + 8 )
( x , y ) = ( 2 , - 2 )
So the coordinates of the point X is :
X = ( 2 , - 2 )
And we're done.....
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