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)
[tex]\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[/tex]
The coordinates of S are (4,8).
