To find the midpoint of points $A(-7, -8)$ and $B(3, 2)$ graphically, we first calculate the midpoint using the midpoint formula:

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

For points $A(-7, -8)$ and $B(3, 2)$:

$\text{Midpoint} = \left( \frac{-7 + 3}{2}, \frac{-8 + 2}{2} \right) = \left( \frac{-4}{2}, \frac{-6}{2} \right) = \left( -2, -3 \right)$

Steps to Graphically Find the Midpoint:

1. Plot the Points: Mark the points $A(-7, -8)$ and $B(3, 2)$ on a coordinate plane.
2. Draw the Line Segment: Draw a straight line connecting points $A$ and $B$.
3. Locate the Midpoint: The midpoint $(-2, -3)$ will be located exactly halfway along this line segment.

If you'd like a visual representation of this, I can generate a graph for you. Would that be helpful?

Here are some additional questions you might consider:

1. How do you derive the midpoint formula?
2. What is the significance of a midpoint in dividing a line segment?
3. How can you verify the midpoint using a ruler and the graph?
4. How does the slope of the line segment relate to the midpoint?
5. What other geometrical properties can be determined by knowing the midpoint?

Tip: When plotting points on a graph, use consistent scales on the x and y axes to ensure accuracy in locating the midpoint.