Find the midpoint of the segment with the following endpoints.
left parenthesis, minus, 4, comma, 8, right parenthesis, and , left parenthesis, 6, comma, 4, right parenthesis
(−4,8) and (6,4)

To find the midpoint of a line segment with endpoints \((-4, 8)\) and \((6, 4)\), you can use the midpoint formula:

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

Given:
- \(x_1 = -4\), \(y_1 = 8\)
- \(x_2 = 6\), \(y_2 = 4\)

Substituting these values into the formula:

\[
\text{Midpoint} = \left( \frac{-4 + 6}{2}, \frac{8 + 4}{2} \right)
\]

Simplifying:

\[
\text{Midpoint} = \left( \frac{2}{2}, \frac{12}{2} \right) = (1, 6)
\]

So, the midpoint of the segment is \((1, 6)\).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you find the distance between two points on a coordinate plane?
2. What is the formula to find the slope of a line given two points?
3. Can you find the equation of the line that passes through the points \((-4, 8)\) and \((6, 4)\)?
4. What is the significance of the midpoint in geometry?
5. How does the concept of midpoint extend to three-dimensional space?

**Tip:** When finding the midpoint, you're essentially finding the average of the x-coordinates and y-coordinates separately.

Learn how to find the midpoint of a line segment with endpoints (-4, 8) and (6, 4). Step-by-step guide using the midpoint formula. Suitable for Grades 6-8.

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