Final answer:
The midpoint of MN is (7, -5).
Step-by-step explanation:
To find the midpoint of segment MN given the coordinates of M(3, -1) and N(11, -9), we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (x, y) are the averages of the coordinates of the endpoints:
x = (x1 + x2) / 2
y = (y1 + y2) / 2
In this case, we have x1 = 3, x2 = 11, y1 = -1, and y2 = -9. Plugging in these values, we can calculate the midpoint coordinates:
x = (3 + 11) / 2 = 7
y = (-1 + -9) / 2 = -5
Therefore, the midpoint of MN is (7, -5).