Answer: The required co-ordinates of the point are (0.5, 5.5).
Step-by-step explanation: We are given to find the co-ordinates of the point that splits CD in half if point C is located at (-2,4) and point D is located at (3,7).
The point that splits the line segment CD in half will be the mid-point of the segment CD.
We know that
the co-ordinates of the mid-point of a line segment with endpoints (a, b) and (c, d) are given by

Therefore, the co-ordinates of the given point that splits CD in half are given by

Thus, the required co-ordinates of the point are(0.5, 5.5).