Question
Find the midpoint of the segment with the following endpoints.

Ask by Marshall Nunez. in the United States

Jan 23,2025

Question

Question Find the midpoint of the segment with the following endpoints. $$ (1,1) \text { and }(-7,7) $$

UpStudy AI · Accepted Answer

To find the midpoint of a segment with endpoints $$(x_1, y_1)$$ and $$(x_2, y_2)$$, you can use the **Midpoint Formula**:

$$
\text{Midpoint} = \left( \frac{x_1 + x_2}{2},\ \frac{y_1 + y_2}{2} \right)
$$

Given the endpoints $$(1, 1)$$ and $$(-7, 7)$$:

1. **Calculate the x-coordinate of the midpoint:**
   $$
   \frac{1 + (-7)}{2} = \frac{-6}{2} = -3
   $$

2. **Calculate the y-coordinate of the midpoint:**
   $$
   \frac{1 + 7}{2} = \frac{8}{2} = 4
   $$

**Therefore, the midpoint of the segment is $$(-3,\ 4)$$.**

$$
\boxed{\,(-3,\ 4)\,}
$$
The midpoint is $$(-3, 4)$$.

Question
Find the midpoint of the segment with the following endpoints.