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To find the midpoint of points \( A(5, 3) \) and \( B(9, -4) \) graphically, you can follow these steps:

1. **Find the midpoint formula**: The formula for the midpoint \( M \) of two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is:
   \[
   M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
   \]
2. **Apply the coordinates**: Plug in the coordinates of points \( A(5, 3) \) and \( B(9, -4) \):
   \[
   M = \left( \frac{5 + 9}{2}, \frac{3 + (-4)}{2} \right)
   = \left( \frac{14}{2}, \frac{-1}{2} \right)
   = (7, -0.5)
   \]
3. **Graph the points**:
   - Plot point \( A(5, 3) \).
   - Plot point \( B(9, -4) \).
   - Plot the midpoint \( M(7, -0.5) \) on the graph.

After plotting these points, the midpoint should be located at \( (7, -0.5) \).

Would you like help with graphing this, or do you have any other questions?

Here are 5 related questions to expand your understanding:
1. What is the significance of the midpoint in geometry?
2. How does the distance between two points relate to the midpoint?
3. Can you use the midpoint formula in 3D space, and how?
4. How would the midpoint change if one or both coordinates were negative?
5. Can you derive the midpoint formula using vector addition?

**Tip**: Always double-check the coordinates when plotting points to avoid minor graphing mistakes!

Find the midpoint of points A(5, 3) and B(9, -4) graphically.

Learn how to find the midpoint of points A(5, 3) and B(9, -4) using the midpoint formula and graphing techniques. This problem covers essential concepts in coordinate geometry, suitable for students in Grades 6-8.

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