Final answer:
The midpoint of the line segment with endpoints at (5,9) and (11, 15) is (8, 12).
Step-by-step explanation:
To find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2), you can use the midpoint formula:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
In this case, the endpoints are (5, 9) and (11, 15). Plugging in the values into the formula, we get:
Midpoint = ((5 + 11)/2, (9 + 15)/2)
Simplifying, we find that the midpoint is (8, 12).