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To find the midpoint of a line segment with the given endpoints, we use the midpoint formula:

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

The given endpoints are \((-4, 4)\) and \((5, -1)\). Let's plug these values into the formula:

\[
x_1 = -4, \quad y_1 = 4, \quad x_2 = 5, \quad y_2 = -1
\]

Now, calculating each coordinate of the midpoint:

\[
x_{\text{mid}} = \frac{-4 + 5}{2} = \frac{1}{2} = 0.5
\]

\[
y_{\text{mid}} = \frac{4 + (-1)}{2} = \frac{3}{2} = 1.5
\]

So, the midpoint of the line segment is:

\[
(0.5, 1.5)
\]

Would you like further details or have any questions?

Here are 5 related questions to expand on this:
1. How do you find the midpoint if one of the coordinates is zero?
2. Can you calculate the length of the line segment between the two points?
3. What is the slope of the line that passes through these points?
4. How can you use the midpoint to find a line’s perpendicular bisector?
5. How would the midpoint formula change in three-dimensional space?

**Tip:** Always double-check your calculations by verifying both the x and y coordinates separately.

Find the midpoint of the line segment with the given endpoints (-4, 4), (5, -1).

This guide explains how to find the midpoint of a line segment between the points (-4, 4) and (5, -1). Learn to apply the midpoint formula and calculate the coordinates step by step. Suitable for students in Grades 6-8.

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