Determine the midpoint of (9,-1) and (-5,2)

To find the midpoint of two points \((x_1, y_1)\) and \((x_2, y_2)\), we use the midpoint formula:

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

Given the points \((9, -1)\) and \((-5, 2)\), we can plug these values into the formula:

\[
\text{Midpoint} = \left(\frac{9 + (-5)}{2}, \frac{-1 + 2}{2}\right)
\]

\[
\text{Midpoint} = \left(\frac{9 - 5}{2}, \frac{1}{2}\right)
\]

\[
\text{Midpoint} = \left(\frac{4}{2}, \frac{1}{2}\right)
\]

\[
\text{Midpoint} = (2, 0.5)
\]

So, the midpoint of the points \((9, -1)\) and \((-5, 2)\) is \((2, 0.5)\).

Would you like any details or have any questions about this? 

Here are 8 related questions:

1. How would you find the distance between the two points?
2. What is the significance of the midpoint in geometry?
3. Can you determine the equation of the line passing through these two points?
4. How would the midpoint change if one of the points was different?
5. What is the slope of the line passing through these two points?
6. How can midpoints be used in the context of vectors?
7. How would you find the midpoint in three-dimensional space?
8. What are the coordinates of the other point if the midpoint and one point are given?

**Tip:** Always double-check your arithmetic when calculating midpoints to avoid simple errors.

Learn how to find the midpoint of two points (9, -1) and (-5, 2) using the midpoint formula. Detailed step-by-step solution with arithmetic checks included. Suitable for Grades 6-8 students studying coordinate geometry.

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