To find the midpoint of points $A(-9, -7)$ and $B(1, 0)$ 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 $A(-9, -7)$ and $B(1, 0)$:

$\text{Midpoint} = \left( \frac{-9 + 1}{2}, \frac{-7 + 0}{2} \right) = \left( \frac{-8}{2}, \frac{-7}{2} \right) = \left( -4, -3.5 \right)$

Now, let's graph this:

1. Plot the points $A(-9, -7)$ and $B(1, 0)$ on a coordinate plane.
2. Draw a line connecting points $A$ and $B$.
3. The midpoint $(-4, -3.5)$ lies exactly halfway along this line.

This point is the visual center of the line segment AB.

Would you like to see this graph or any further details?

Here are some related questions you might find interesting:

1. How do you find the distance between two points graphically?
2. How is the slope of a line between two points calculated?
3. What are some applications of the midpoint in geometry?
4. How does the midpoint relate to dividing a line segment?
5. What is the significance of the midpoint in coordinate geometry?

Tip: When finding a midpoint graphically, ensure your scale is accurate to correctly represent the position of the midpoint.