Final answer:
The coordinates of the midpoint are (5.5, 1).
Step-by-step explanation:
To find the coordinates of the midpoint of a segment, we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.
Let's use this formula to find the midpoint of the segment with endpoints X(4, -6) and Y(7, 8).
The x-coordinate of the midpoint is (4 + 7)/2 = 11/2 = 5.5
The y-coordinate of the midpoint is (-6 + 8)/2 = 2/2 = 1To find the coordinates of the midpoint of a segment with endpoints X(4, -6) and Y(7, 8), we use the midpoint formula, which is:
( (x1 + x2) / 2, (y1 + y2) / 2 )
Plugging in the given coordinates:
( (4 + 7) / 2, (-6 + 8) / 2 ) = ( 11 / 2, 2 / 2 ) = (5.5, 1)
The answer is C. (5.5, 1).
Therefore, the coordinates of the midpoint are (5.5, 1).