To find the midpoint of segment AB, we use the midpoint formula for a number line:

$\text{Midpoint} = \frac{x_A + x_B}{2}$

From the image, the coordinates of points A and B are:

• $A = -5$
• $B = 7$

Substitute these values into the formula:

$\text{Midpoint} = \frac{-5 + 7}{2} = \frac{2}{2} = 1$

So, the midpoint of segment AB is at $x = 1$.

Would you like more details or have any questions? Here are some related questions you might want to explore:

1. What is the formula for finding the midpoint in a 2D plane?
2. How do you calculate the distance between two points on a number line?
3. Can you explain why the midpoint formula works geometrically?
4. What happens if both A and B are negative values—how does that affect the midpoint?
5. What if A and B are fractions—can you still use the midpoint formula?

Tip: The midpoint formula can be extended to any dimension. For example, in 2D space, you calculate the midpoint by averaging both the x-coordinates and y-coordinates.