Math Problem Statement

The midpoint M and one endpoint G of segment GH are given: G(-4, 1) and M(-13/2, -6). Find the coordinates of the other endpoint H.

Solution

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If you have another part of the problem or any additional queries, feel free to ask!

Would you like to dive deeper into this solution or have questions about other math topics?

Here are five new questions that relate:

  1. What is the difference between the distance formula and the midpoint formula?
  2. Can you derive the formula for the equation of a line using two points?
  3. How would you find the coordinates of a point that divides a segment in a specific ratio?
  4. How does the slope of a line relate to its equation?
  5. Can we generalize this process for finding an endpoint in 3D space?

Tip: Always double-check your algebraic steps when solving for coordinates—small errors can lead to incorrect results.

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Math Problem Analysis

Mathematical Concepts

Geometry
Coordinate Geometry
Midpoint Formula

Formulas

Midpoint formula: M = ((x1 + x2) / 2, (y1 + y2) / 2)

Theorems

Midpoint Theorem: The coordinates of the midpoint M of a segment with endpoints G(x1, y1) and H(x2, y2) are the averages of the corresponding coordinates of G and H.

Suitable Grade Level

Grades 8-10

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