Math Problem Statement
In the standard (x, y) coordinate plane, what are the coordinates of the midpoint of a line segment whose endpoints are (-3, 0) and (7, 4)?
Solution
To solve this problem, we need to find the midpoint of a line segment whose endpoints are and . The formula for the midpoint of a line segment is:
Step-by-Step Solution:
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Assign the coordinates:
- ,
- ,
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Plug these into the midpoint formula:
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Simplify each coordinate:
- For the -coordinate:
- For the -coordinate:
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Thus, the midpoint is:
Final Answer:
The correct choice is:
Would you like me to explain any steps further or explore related concepts?
Related Questions:
- What is the distance between the endpoints and ?
- How do you find the slope of a line segment between two points?
- What is the equation of the line passing through the points and ?
- If a line segment is extended past one endpoint, what are the coordinates of a new point at twice the original length?
- How do you calculate the centroid of a triangle given its vertices?
Tip:
To quickly find midpoints, remember it's simply averaging the -coordinates and -coordinates separately.
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Math Problem Analysis
Mathematical Concepts
Geometry
Coordinate Geometry
Formulas
Midpoint formula: ((x1 + x2) / 2, (y1 + y2) / 2)
Theorems
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Suitable Grade Level
Grades 6-8