Final answer:
In the given ellipse equation, the semi-minor axis is 5, which gives two covertices at (3, 4) and (3, -6); thus, (3, 4) can be considered as a covertex of the ellipse.
Step-by-step explanation:
In the ellipse equation (x-3)² / 16 + (y+1)² / 25 = 1, the terms in the denominator under the x and y components represent the squares of the semimajor and semi-minor axes, respectively. Since 25 is under the y-component, the square root of 25, which is 5, represents the length of the semi-minor axis. Consequently, the vertices on the y-axis, also known as the covertices, are located at (3, -1±5). Therefore, the points (3, 4) and (3, -6) are the covertices of the ellipse. Selecting one of them, for example, (3, 4) would provide the answer to the stated question.