Question

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

Answer 1

Answer:

$(10,-7)$

Step-by-step 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 = $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

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:

$4=\frac{-2+x_{2}}{2}$  * This is equation 1 from which we can find $x_{2}$

$-2=\frac{3+y_{2}}{2}$  * This is equation 2 from which we can find $y_{2}$

Solving equation 1:

$4=\frac{-2+x_{2}}{2}\\8=-2+x_{2}\\8+2=x_{2}\\x_{2}=10$

Solving equation 2:

$-2=\frac{3+y_{2}}{2}\\-4=3+y_{2}\\-4-3=y_{2}\\y_{2}=-7$

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

Answer 2

Answer:

the answer is D

Step-by-step explanation: