Question

M(6, 6) is the midpoint of RS. The coordinates of S are (8, 9). What are the coordinates of R?

Answer 1

The midpoint of the segment joining the two points (4,3) and (8,9) is (6,6). So the answer to the above question is (6,6)

Answer 2

coordinates of R ( 4 ,3) .

Explanation:

Given :M(6, 6) is the midpoint of RS. The coordinates of S are (8, 9).

To find :What are the coordinates of R.

Solution : We have given Mid point ( 6,6)

End points R( x , y) and S (8 , 9) .

`Mid\ points =((x_(1)+x_(2))/(2) , (y_(1)+y_(2))/(2))`.

Here ,
`x_(1) = x.\\x_(2) = 8.\\y_(1) = y.\\y_(2) = 9`.

The plug the values in given formula.

`( 6 ,6)  = ((x+ 8)/(2) , ( y  + 9)/(2))`.

For , 6 =
`(x+ 8)/(2)`.

On multiplying both sides by 2

12 = x +8

On subtracting both sides by 8

x = 4 .

For , 6 =
`(y +9)/(2)`.

On multiplying both sides by 2

12 = y + 9

On subtracting both sides by 9

y= 3.

Then coordinates of R ( 4 ,3) .

Therefore, coordinates of R ( 4 ,3) .