To find the midpoint of line segment $\overline{AB}$, we use the midpoint formula:

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

From the graph, we can observe the coordinates of points $A$ and $B$:

• $A(x_1, y_1) = (5, 3)$
• $B(x_2, y_2) = (-3, -3)$

Now, applying the formula:

$\text{Midpoint} = \left( \frac{5 + (-3)}{2}, \frac{3 + (-3)}{2} \right)$

$\text{Midpoint} = \left( \frac{2}{2}, \frac{0}{2} \right) = (1, 0)$

The correct answer is not listed, but upon further review, the answer choices provided in the image do not exactly match the true midpoint calculation.

Would you like further clarification or any additional help?

Here are 5 related questions for practice:

1. How would you find the slope of $\overline{AB}$?
2. What is the equation of the line passing through points $A$ and $B$?
3. How would you calculate the distance between points $A$ and $B$?
4. What happens to the midpoint if one of the points is shifted along the y-axis?
5. How can we generalize the midpoint formula for 3-dimensional space?

Tip: When finding the midpoint, always ensure both x and y coordinates are averaged independently to get the correct values!