Given the two end points on the line AB, A (2, 3) and B (-10, 6). Calculate the midpoint of the line

To find the midpoint \( M \) of the line segment AB, given the two endpoints \( A(2, 3) \) and \( B(-10, 6) \), we use the midpoint formula:

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

Substituting the coordinates of \( A(2, 3) \) and \( B(-10, 6) \):

\[
M = \left( \frac{2 + (-10)}{2}, \frac{3 + 6}{2} \right)
\]

\[
M = \left( \frac{-8}{2}, \frac{9}{2} \right)
\]

\[
M = (-4, 4.5)
\]

Thus, the midpoint of the line segment AB is \( (-4, 4.5) \).

Do you want more details or have any questions?

Here are five related questions:
1. How do you calculate the slope of a line between two points?
2. What is the distance between the points \( A(2, 3) \) and \( B(-10, 6) \)?
3. How do you find the equation of the line passing through points A and B?
4. What are the coordinates of the midpoint if the endpoints were A(3, 7) and B(-1, -5)?
5. How does the midpoint change if both points are reflected across the y-axis?

**Tip:** The midpoint formula averages the x- and y-coordinates to find the center of a line segment.

Given the two end points on the line AB, A (2, 3) and B (-10, 6). Calculate the midpoint of the line.

Learn how to calculate the midpoint of the line segment AB with endpoints A(2, 3) and B(-10, 6). This problem uses the midpoint formula, making it ideal for students in Grades 6-8 studying coordinate geometry.

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