https://file.aiquickdraw.com/mathbot/file/1728601194582eo619w92.jpg

The question asks for the midpoint of the line segment connecting the points \((-2, 4)\) and \((5, -2)\).

To find the midpoint, you can use the midpoint formula:

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

Where:
- \((x_1, y_1) = (-2, 4)\)
- \((x_2, y_2) = (5, -2)\)

Now, calculate the midpoint:

1. \( x\)-coordinate: \(\frac{-2 + 5}{2} = \frac{3}{2} = 1.5\)
2. \( y\)-coordinate: \(\frac{4 + (-2)}{2} = \frac{2}{2} = 1\)

Thus, the midpoint is:

\[
\left( 1.5, 1 \right)
\]

Would you like more details, or do you have any questions?

### Related questions:
1. How is the midpoint formula derived from geometry?
2. Can you use the distance formula to verify the correctness of this midpoint?
3. How do you find the slope of the line segment connecting two points?
4. What is the significance of midpoints in real-world applications?
5. How can the midpoint be used to divide a segment into equal parts?

**Tip:** You can always double-check your midpoint calculation by averaging the x-coordinates and y-coordinates separately.

What is the midpoint of the line segment connecting the points (-2, 4) and (5, -2)?

Find the midpoint of the line segment connecting the points (-2, 4) and (5, -2) using the midpoint formula: ((x1 + x2)/2, (y1 + y2)/2). The step-by-step solution shows how to calculate the midpoint, suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation