The midpoint *M* of *UV* has coordinates (–13, 4). Point *U* has coordinates (–14, –4). Find the coordinates of point *V*.

*Write the coordinates as decimals or integers.*



*V* = (, )

To find the coordinates of point \( V(x_2, y_2) \), we can use the midpoint formula, which is:

\[
M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)
\]

Given:
- Midpoint \( M = (-13, 4) \)
- Point \( U = (-14, -4) \)

We need to find \( V(x_2, y_2) \).

### Using the midpoint formula:

\[
-13 = \frac{-14 + x_2}{2}
\]
\[
4 = \frac{-4 + y_2}{2}
\]

### Solving for \( x_2 \):
\[
-13 = \frac{-14 + x_2}{2}
\]
Multiply both sides by 2:
\[
-26 = -14 + x_2
\]
Add 14 to both sides:
\[
x_2 = -26 + 14 = -12
\]

### Solving for \( y_2 \):
\[
4 = \frac{-4 + y_2}{2}
\]
Multiply both sides by 2:
\[
8 = -4 + y_2
\]
Add 4 to both sides:
\[
y_2 = 8 + 4 = 12
\]

So, the coordinates of point \( V \) are \( \boxed{(-12, 12)} \).

Would you like more details or have any questions?  
Here are five related questions to consider:

1. How do you find the midpoint if both endpoints are known?
2. What is the distance between points \( U \) and \( V \)?
3. How can you determine if three points

Learn how to find the coordinates of point V using the midpoint formula. Given midpoint M(-13, 4) and point U(-14, -4), solve for point V. Detailed step-by-step solution provided.

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