To find the midpoint $M$ of line segment $AB$, we use the midpoint formula:

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

Where:

• $A(x_1, y_1)$ are the coordinates of point $A$,
• $B(x_2, y_2)$ are the coordinates of point $B$.

From the graph:

• The coordinates of $A$ are approximately $(-5, -6)$,
• The coordinates of $B$ are approximately $(10, 3)$.

Now, applying the midpoint formula:

$M = \left( \frac{-5 + 10}{2}, \frac{-6 + 3}{2} \right) = \left( \frac{5}{2}, \frac{-3}{2} \right) = (2.5, -1.5)$

Thus, the coordinates of the midpoint $M$ are $(2.5, -1.5)$.

Would you like further details on how this calculation works, or do you have any other questions?

Here are 5 questions related to this concept:

1. How do you find the distance between two points on a graph?
2. Can the midpoint formula be extended to three dimensions?
3. What are some real-life applications of the midpoint formula?
4. How can you use the midpoint to check for symmetry in geometry?
5. How does the slope of a line segment relate to its midpoint?

Tip: Always verify the coordinates by re-checking both points on the graph to avoid any small errors in reading values.