Use the given endpoint R and midpoint of M of line RS to find the coordinates of the other endpoint S. R (4,-6), M (-7,8)

The coordinates of the midpoint are the arithmetic means of the respective coordinates of the endpoints.

The endpoints:

R(6,-2)

x₁=6

y₁=-2

S(x,y)

x₂=x

y₂=y

The midpoint:

M(5,3)

\begin{gathered}\frac{6+x}{2}=5 \\ 6+x=5 \times 2\\ 6+x=10 \\ x=10-6 \\ x=4 \\ \\ \frac{-2+y}{2}=3 \\ -2+y=3 \times 2 \\ -2+y=6 \\ y=6+2 \\ y=8\end{gathered}26+x=56+x=5×26+x=10x=10−6x=42−2+y=3−2+y=3×2−2+y=6y=6+2y=8

The coordinates of S are (4,8).

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above