Math Problem Statement
Find the midpoint of the segment with the following endpoints.
left parenthesis, 7, comma, 4, right parenthesis, and , left parenthesis, 3, comma, minus, 2, right parenthesis
(7,4) and (3,−2)
Solution
To find the midpoint of the segment with endpoints and , use the midpoint formula:
Given:
Substitute these values into the formula:
Simplify the expressions:
So, the midpoint of the segment is .
Do you have any questions or would you like more details?
Here are some related questions for further practice:
- What is the midpoint of and ?
- How would you find the midpoint if one endpoint is ?
- If the midpoint of a segment is and one endpoint is , what is the other endpoint?
- Calculate the midpoint of and .
- Can the midpoint be the same as one of the endpoints?
- What does the midpoint represent in a coordinate plane?
- How would you find the midpoint if the coordinates are in fractions?
- If the midpoint is and one endpoint is , find the other endpoint.
Tip: The midpoint divides a line segment into two equal parts, each of which is half the length of the original segment.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Formulas
Midpoint Formula
Theorems
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Suitable Grade Level
Grades 7-9