Find the midpoint of points A, left parenthesis, minus, 10, comma, minus, 1, right parenthesisA(−10,−1) and B, left parenthesis, minus, 7, comma, minus, 6, right parenthesisB(−7,−6) graphically.


To find the midpoint of points \( A(-10, -1) \) and \( B(-7, -6) \) graphically, follow these steps:

1. **Midpoint Formula**: The formula for finding the midpoint \( M(x, y) \) of two points \( A(x_1, y_1) \) and \( B(x_2, y_2) \) is:
   \[
   M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
   \]
   
2. **Substitute Coordinates**:
   Given \( A(-10, -1) \) and \( B(-7, -6) \):
   \[
   M = \left( \frac{-10 + (-7)}{2}, \frac{-1 + (-6)}{2} \right)
   \]
   
3. **Simplify**:
   \[
   M = \left( \frac{-17}{2}, \frac{-7}{2} \right)
   \]
   \[
   M = \left( -8.5, -3.5 \right)
   \]

4. **Graphically**: On a coordinate plane:
   - Plot point \( A(-10, -1) \).
   - Plot point \( B(-7, -6) \).
   - The midpoint \( M(-8.5, -3.5) \) will lie exactly between these two points.

Would you like to see a graphical representation or more details on how to plot this?

### 5 Related Questions:
1. How do you find the distance between two points graphically?
2. What is the significance of the midpoint in geometry?
3. Can the midpoint formula be used in 3D space?
4. How do you find the equation of a line between two points?
5. How do you calculate the slope of a line given two points?

**Tip**: Always double-check your coordinate calculations when plotting points to ensure accuracy!

Find the midpoint of points A(-10, -1) and B(-7, -6) graphically.

Learn how to find the midpoint of points A(-10, -1) and B(-7, -6) using the midpoint formula. This example includes step-by-step instructions and graphical representation. Ideal for students in Grades 6-8.

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