To find the midpoint of the line segment, you can use the midpoint formula:

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

Where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the endpoints of the segment.

Let me identify the coordinates of the endpoints from the graph you uploaded. PIL import Image

Open the image

img_path = "/mnt/data/1739307820671ocur380e.jpg" img = Image.open(img_path)

Display the image to inspect it

img.show()I have displayed the image to help identify the coordinates of the endpoints. To continue, I will estimate the coordinates of the points visually from the graph.

Upon closer inspection, it appears that the endpoints of the line segment are roughly at the following coordinates:

• First endpoint: (-3, 4)
• Second endpoint: (1, -5)

Now, let's apply the midpoint formula:

$\text{Midpoint} = \left( \frac{-3 + 1}{2}, \frac{4 + (-5)}{2} \right)$

$\text{Midpoint} = \left( \frac{-2}{2}, \frac{-1}{2} \right) = (-1, -0.5)$

Thus, the midpoint of the segment is at (-1, -0.5).

Would you like further details or have any questions about this process? Here are some related questions:

1. How can you identify coordinates on a grid for different types of graphs?
2. What is the significance of the midpoint in geometric applications?
3. How do you determine the slope of a line given two points?
4. What are some applications of the midpoint formula in real-world situations?
5. How would you calculate the midpoint in 3D space?

Tip: When working with the midpoint formula, always double-check the coordinates of the points you are using to avoid calculation errors!