Determine the midpoint of (8,4) and (-3,-2) 
 

To find the midpoint of the points \((8, 4)\) and \((-3, -2)\), we'll use the midpoint formula:

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

Substituting the given coordinates:

\[
\text{Midpoint} = \left(\frac{8 + (-3)}{2}, \frac{4 + (-2)}{2}\right)
\]

\[
\text{Midpoint} = \left(\frac{8 - 3}{2}, \frac{4 - 2}{2}\right)
\]

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

\[
\text{Midpoint} = \left(2.5, 1\right)
\]

Thus, the midpoint of the points \((8, 4)\) and \((-3, -2)\) is \((2.5, 1)\).

Do you have any questions or would you like more details?

Here are 8 related questions:

1. How would you calculate the distance between these two points?
2. What is the equation of the line passing through \((8, 4)\) and \((-3, -2)\)?
3. How does the concept of a midpoint apply to dividing line segments?
4. If you know the midpoint and one point, how do you find the other point?
5. What is the slope of the line connecting these two points?
6. How can you find the midpoint in three-dimensional space?
7. What happens to the midpoint if both points are moved by a certain vector?
8. How is the midpoint formula derived?

**Tip:** When solving midpoint problems, it's helpful to sketch a quick diagram to visualize the location of the points and their midpoint.

Discover how to find the midpoint of the points (8, 4) and (-3, -2) using the midpoint formula. This problem explores coordinate geometry concepts and provides a clear step-by-step solution. Suitable for students in Grades 7-9.

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