Question

The midpoint of RS is point T what are the coordinates of Point S ?


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Answer 1

the answer is D

Explanation:

Answer 2

`(10,-7)`

Explanation:

If two points are given as
`(x_(1),y_(1))` (point 1) and
`(x_(2),y_(2))` (point 2), then the midpoint of these 2 points are given by the formula:

Midpoint =
`((x_(1)+x_(2))/(2),(y_(1)+y_(2))/(2))`

Using R as point 1 , S as point 2, and T as midpoint, we can substitute in the formula and get 2 equations shown below:

`4=(-2+x_(2))/(2)` * This is equation 1 from which we can find
`x_(2)`

`-2=(3+y_(2))/(2)` * This is equation 2 from which we can find
`y_(2)`

Solving equation 1:

`4=(-2+x_(2))/(2)\\8=-2+x_(2)\\8+2=x_(2)\\x_(2)=10`

Solving equation 2:

`-2=(3+y_(2))/(2)\\-4=3+y_(2)\\-4-3=y_(2)\\y_(2)=-7`

Hence the coordinates of point S is
`(10,-7)`