Verified Answer :

co-ordinates of midpoint=\(\frac{ x_{1}+ x_{2} }{2} , \frac{ y_{1}+ y_{2} }{ 2}\)
=\(\frac{6+2}{2} , \frac{4+8}{2}\)
(4, 6)

Answer:

\((4,6)\)

Step-by-step explanation:

we know that

The formula to calculate the coordinates of the midpoint between two points is equal to

\(M(\frac{x1+x2}{2},\frac{y1+y2}{2})\)

we have that

The coordinates of hk

\(h(6,4), k(2,8)\)

substitute in the formula to calculate the midpoint

\(M(\frac{6+2}{2},\frac{4+8}{2})\)

\(M(\frac{8}{2},\frac{12}{2})\)

\(M(4,6)\)