Question

The coordinates of point Y are giving. The midpoint XY is (3,-5). Find the coordinates of point X.

Y (4, -8)

Answer 1

Suppose the midpoint of XY is M ;

So ;

`(x + y)/(2) = m \\`

Multiply sides by 2

`x + y = 2m`

( 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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