Final answer:
The endpoints of the line segment CD with points C (-8, -6) and D (-4, 10) are given by the points themselves. If looking for the midpoint, it would be calculated as (-6, 2) by averaging the x and y coordinates of points C and D.
Step-by-step explanation:
The question asks for the endpoint of a line segment CD with given points C (-8, -6) and D (-4, 10). However, there seems to be a misunderstanding because, in geometry, when we are given two points on a segment, they are by definition the endpoints. Thus, C (-8, -6) and D (-4, 10) are already the endpoints. If the question is about the midpoint of the line segment, we can calculate it using the midpoint formula, which is the average of the x-coordinates and the y-coordinates of the two endpoints.
To find the midpoint, we use the following steps:
- Add the x-coordinates of C and D and divide by 2: (-8 - 4) / 2 = -12 / 2 = -6.
- Add the y-coordinates of C and D and divide by 2: (-6 + 10) / 2 = 4 / 2 = 2.
- The midpoint is (-6, 2).
If the student specifically asked for the end point itself, no calculation is necessary, as the points provided are the endpoints:
- Endpoint C is (-8, -6).
- Endpoint D is (-4, 10).
It's important to clarify the question with the student to ensure they receive the correct information relevant to their inquiry.