To find the other endpoint of a line segment when one endpoint and the midpoint are given, you can use the midpoint formula:

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

Given:
- One endpoint: \((-5, 5)\)
- Midpoint: \((7, 3)\)

Let's call the other endpoint \((x, y)\).

Using the midpoint formula:

\[
\left( \frac{-5 + x}{2}, \frac{5 + y}{2} \right) = (7, 3)
\]

This gives us two equations:

\[
\frac{-5 + x}{2} = 7 \quad \text{and} \quad \frac{5 + y}{2} = 3
\]

Let's solve these:

1. Solve for \(x\):

\[
\frac{-5 + x}{2} = 7
\]

Multiply both sides by 2:

\[
-5 + x = 14
\]

Add 5 to both sides:

\[
x = 19
\]

2. Solve for \(y\):

\[
\frac{5 + y}{2} = 3
\]

Multiply both sides by 2:

\[
5 + y = 6
\]

Subtract 5 from both sides:

\[
y = 1
\]

So, the other endpoint is \((19, 1)\).

Would you like more details or have any other questions?

### Related Questions:
1. How do you calculate the distance between two points?
2. What is the formula for finding the slope of a line?
3. How can you find the equation of a line given two points?
4. What is the significance of the midpoint in geometry?
5. How do you find the centroid of a triangle given its vertices?
6. What is the formula for the area of a triangle given three points?
7. How do you reflect a point across a line?
8. What is the equation of a circle given its center and a point on the circle?

**Tip:** When working with line segments, always remember the midpoint formula as it is key for finding missing points.

Learn how to find the endpoint of a line segment when one endpoint and the midpoint are given. This problem involves using the midpoint formula to determine the coordinates of the missing endpoint. Suitable for students in Grades 7-9 studying coordinate geometry.

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