what coordinate is in the middle of the two points (6,-9) and (8,-5)

To find the midpoint between two points \((x_1, y_1)\) and \((x_2, y_2)\), you can use the midpoint formula:

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

Given the points \((6, -9)\) and \((8, -5)\), the midpoint is calculated as follows:

\[
\text{Midpoint} = \left(\frac{6 + 8}{2}, \frac{-9 + -5}{2}\right)
\]

\[
= \left(\frac{14}{2}, \frac{-14}{2}\right)
\]

\[
= (7, -7)
\]

So, the coordinate in the middle of the two points is \((7, -7)\).

Would you like more details or have any questions?

Here are some related questions:
1. How do you find the distance between two points?
2. What is the equation of the line passing through the points \((6, -9)\) and \((8, -5)\)?
3. How do you determine if three points are collinear?
4. What is the slope of the line connecting \((6, -9)\) and \((8, -5)\)?
5. How do you find the equation of the perpendicular bisector of the segment joining two points?

**Tip:** The midpoint formula is helpful in geometry when you need to find the center of a line segment.

Learn how to find the midpoint between two points (6, -9) and (8, -5) using the midpoint formula. This problem involves coordinate geometry and includes a step-by-step calculation to determine the midpoint coordinates (7, -7). 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