Final answer:
The y-coordinate of the midpoint M that divides segment PQ into two congruent segments is 3.
Step-by-step explanation:
To find the y-coordinate of the midpoint M that divides line segment PQ into two congruent segments, we use the midpoint formula for the y-coordinates, which is (y1 + y2) / 2. Substituting the given points P(-5, -7) and Q(9, 13), we get the y-coordinate of M as (-7 + 13) / 2. After calculating, we find that the midpoint's y-coordinate is 3.