Math Problem Statement
Given the two end points on the line AB, A (2, 3) and B (-10, 6). Calculate the midpoint of the line
Solution
To find the midpoint of the line segment AB, given the two endpoints and , we use the midpoint formula:
Substituting the coordinates of and :
Thus, the midpoint of the line segment AB is .
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Here are five related questions:
- How do you calculate the slope of a line between two points?
- What is the distance between the points and ?
- How do you find the equation of the line passing through points A and B?
- What are the coordinates of the midpoint if the endpoints were A(3, 7) and B(-1, -5)?
- How does the midpoint change if both points are reflected across the y-axis?
Tip: The midpoint formula averages the x- and y-coordinates to find the center of a line segment.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Midpoint Formula
Formulas
Midpoint formula: M = ((x1 + x2) / 2, (y1 + y2) / 2)
Theorems
None
Suitable Grade Level
Grades 6-8
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