Question

Find the coordinates of the midpoint of the segment whose endpoints are H(2, 1) and K(10, 7).

Answer 1

The formula for finding midpoint is
(X1+X2/2,Y1+Y2/2)
(2+10/2,1+7/2)
(12/2,8/2)
(6,4)
Thus the midpoint is (6,4)

Answer 2

For this case we have that the middle point formula is given by:

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

We then have the following points:

$(x1, y1) = (2, 1)\\(x2, y2) = (10, 7)$

Therefore, replacing values we have:

$M = (\frac {10 + 2} {2}, \frac {7 + 1} {2})$

Rewriting:

$M = (\frac {12} {2}, \frac {8} {2})\\M = (6, 4)$

Answer:

The midpoint is given by:

A) (6, 4)