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To find the midpoint between points \( A(5, 12) \) and \( B(-4, 8) \), you can use the midpoint formula:

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

Substitute the coordinates of points A and B:

- \( x_1 = 5 \) and \( x_2 = -4 \)
- \( y_1 = 12 \) and \( y_2 = 8 \)

Now, calculate the midpoint:

\[
\left( \frac{5 + (-4)}{2}, \frac{12 + 8}{2} \right) = \left( \frac{1}{2}, \frac{20}{2} \right) = \left( \frac{1}{2}, 10 \right)
\]

So, the midpoint is \( \left( \frac{1}{2}, 10 \right) \).

Would you like further details or have any other questions?

Here are 5 related questions to explore this topic further:

1. What is the geometric meaning of the midpoint between two points?
2. How would the midpoint change if both points were moved in the same direction?
3. Can you derive the midpoint formula from the concept of averaging coordinates?
4. How does the distance between two points relate to their midpoint?
5. How would you find the midpoint if the points were given in 3D space?

**Tip**: Always check your midpoint calculation by visualizing or sketching the points on a coordinate plane to ensure it makes sense geometrically.

Find the midpoint between points A(5, 12) and B(-4, 8).

Learn how to find the midpoint between the points A(5,12) and B(-4,8) using the midpoint formula. This problem covers the concept of midpoint and involves basic coordinate geometry, suitable for students in Grades 6-8.

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