Answer: Hello there!
we have the points H(10,1) and K(4, 7)
first, the x values are 10 and 4, and the difference between them is:
10 - 4 = 6
if we split the difference into two, we get the distance from both points to the midpoint:
(10 - 4)/2 = 3
So the midpoint in x is: 10 - 3 = 4 + 3 = 7
Now let's find the midpoint for y.
the values of y that we have are y = 1 and y = 7, then we need to see:
(7 - 1)/2 = 6/2 = 3
and the midpoint in y is: 7 - 3 = 1 + 3 = 4
then the mid point between H(10, 1) and K(4, 7) is x = 7 and y = 4, wich is written as (7, 4)