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To find the coordinates of point B, we can use the midpoint formula, which states that the midpoint \( M \) of a line segment between two points \( A(x_1, y_1) \) and \( B(x_2, y_2) \) is given by:

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

Given:
- Coordinates of \( A \) are \( (-3, 4) \).
- Midpoint \( M \) is \( (5, 0) \).

Let the coordinates of \( B \) be \( (x_2, y_2) \).

### Step 1: Solve for \( x_2 \)
\[
\frac{-3 + x_2}{2} = 5
\]
Multiply both sides by 2:
\[
-3 + x_2 = 10
\]
Add 3 to both sides:
\[
x_2 = 13
\]

### Step 2: Solve for \( y_2 \)
\[
\frac{4 + y_2}{2} = 0
\]
Multiply both sides by 2:
\[
4 + y_2 = 0
\]
Subtract 4 from both sides:
\[
y_2 = -4
\]

Thus, the coordinates of point B are \( (13, -4) \).

The correct answer is:
\[
\boxed{(13, -4)}
\]

Would you like a detailed explanation on how the midpoint formula works or have any other questions?

### Related Questions:
1. How do you find the midpoint of a segment if both endpoints are given?
2. What is the distance formula between two points, and how is it used?
3. Can you determine a point that divides a segment in a specific ratio?
4. How do transformations like translations affect the coordinates of points?
5. How can the concept of midpoint be applied in three-dimensional geometry?

### Tip:
Remember that to find one of the endpoints using the midpoint formula, you can rearrange the formula to solve for the unknown coordinate.

If the coordinates of A are (-3, 4) and the midpoint of AB is (5, 0), then the coordinates of B are:

Solve the problem of finding the coordinates of point B, given the coordinates of point A (-3, 4) and the midpoint (5, 0). Use the midpoint formula to calculate the coordinates of point B with a step-by-step explanation. Suitable for students in Grades 8-10.

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