To find the coordinates of point $M$, which is the midpoint of line segment $AB$, we can use the midpoint formula. Given two points $A(x_1, y_1)$ and $B(x_2, y_2)$, the midpoint $M$ is calculated as:

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

From the diagram:

• $A(2, 6)$
• $B(8, 6)$

Substituting these values into the formula:

$M_x = \frac{2 + 8}{2} = \frac{10}{2} = 5$ $M_y = \frac{6 + 6}{2} = \frac{12}{2} = 6$

Thus, the coordinates of $M$ are $(5, 6)$.

Would you like any further details or explanations?

Here are 5 related questions:

1. What is the general formula for finding the midpoint between two points?
2. How would you calculate the length of line segment $AB$?
3. Can the midpoint formula be applied in three-dimensional space, and if so, how?
4. What happens if the coordinates of points $A$ and $B$ include negative values?
5. How would you verify that point $M$ is the true midpoint of $AB$?

Tip: The midpoint formula is a simple average of the x and y coordinates of the two endpoints.