Question 3
What is the midpoint of the segment with endpoints and ?

Ask by Tran Pena. in the United States

Jan 21,2025

Question

Question 3 What is the midpoint of the segment with endpoints $$ (1,9) $$ and $$ (-3,5) $$ ? $$ (2,2) $$ $$ (7,-1) $$ $$ (2,7) $$ $$ (-1,7) $$

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 Endpoints:**

- $$A = (1, 9)$$
- $$B = (-3, 5)$$

**Calculating the Midpoint:**

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

2. **Calculate the y-coordinate:**
   $$
   \frac{9 + 5}{2} = \frac{14}{2} = 7
   $$

**Midpoint:** $$(-1, 7)$$

**Answer:** $$\boxed{(-1,7)}$$
The midpoint is $$(-1, 7)$$.

Question 3
What is the midpoint of the segment with endpoints and ?