To find the midpoint of a line segment, you can use the midpoint formula. The formula is:
Midpoint (M) = ((x1 + x2) / 2, (y1 + y2) / 2)
In our case, the endpoints of the line segment are (7, 5) and (7, 11). Here, we can identify:
x1 = 7y1 = 5x2 = 7y2 = 11
Now, we can substitute these values into the midpoint formula:
M = ((7 + 7) / 2, (5 + 11) / 2)
Calculating the x-coordinate:
(7 + 7) / 2 = 14 / 2 = 7
Calculating the y-coordinate:
(5 + 11) / 2 = 16 / 2 = 8
So, the midpoint M is:
M = (7, 8)
This means that the midpoint of the line segment with endpoints (7, 5) and (7, 11) is (7, 8).