Respuesta :
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:
coordinates of R ( 4 ,3) .
Step-by-step 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) .
[tex]Mid\ points =(\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2})[/tex].
Here , [tex]x_{1} = x.\\x_{2} = 8.\\y_{1} = y.\\y_{2} = 9[/tex].
The plug the values in given formula.
[tex]( 6 ,6) = (\frac{x+ 8}{2} , \frac{ y + 9}{2}) [/tex].
For , 6 = [tex]\frac{x+ 8}{2}[/tex].
On multiplying both sides by 2
12 = x +8
On subtracting both sides by 8
x = 4 .
For , 6 = [tex]\frac{y +9}{2}[/tex].
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) .
