Question
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In Exercises 13-16, the endpoints of are given. Find
the coordinates of the midpoint . Example 3
13. and

Ask by Morrison Nichols. in the United States
Jan 31,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The midpoint is at .

Solution

To find the midpoint of the line segment with endpoints and , you can use the Midpoint Formula. The formula is given by:
Where:
  • are the coordinates of point .
  • are the coordinates of point .
Step-by-Step Calculation:
  1. Identify the coordinates:
    • : Here, and .
    • : Here, and .
  2. Apply the Midpoint Formula:
  3. Calculate the components:
    • X-coordinate of :
    • Y-coordinate of :
  4. Combine the results:
Answer:
The midpoint has coordinates .

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Mind Expander

To find the midpoint of the line segment , you can use the midpoint formula, which states that if you have two points and , the midpoint is given by:
Substituting the coordinates of points and :
So, the coordinates of the midpoint are .

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