given A (-1,7) and B (5,3) find the midpoint of AB


The midpoint of a line segment with endpoints \( A(x_1, y_1) \) and \( B(x_2, y_2) \) can be found using the midpoint formula:

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

For the points \( A(-1, 7) \) and \( B(5, 3) \), the midpoint \( M \) is calculated as follows:

\[
M = \left(\frac{-1 + 5}{2}, \frac{7 + 3}{2}\right)
\]

Simplifying this:

\[
M = \left(\frac{4}{2}, \frac{10}{2}\right)
\]

\[
M = (2, 5)
\]

So, the midpoint of segment \( AB \) is \( (2, 5) \).

Would you like more details or have any questions?

Here are some related questions:
1. How do you find the distance between two points on a plane?
2. What is the slope of the line passing through points \( A \) and \( B \)?
3. How do you find the equation of the line passing through points \( A \) and \( B \)?
4. Can you find the area of the triangle formed by points \( A \), \( B \), and another point \( C \)?
5. How do you determine if three points are collinear?

**Tip:** When finding the midpoint, remember that it represents the average of the x-coordinates and y-coordinates of the endpoints.

Given A (-1,7) and B (5,3), find the midpoint of AB.

Learn how to calculate the midpoint of a line segment with endpoints A(-1, 7) and B(5, 3) using the midpoint formula. This tutorial provides a step-by-step solution, making it perfect for students in Grades 6-8 studying coordinate geometry.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation