Question:
The midpoint of the line joining the points $(2, 4)$ and $(6, -2)$ is:
The midpoint of the line joining the points $(2, 4)$ and $(6, -2)$ is:
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Carefully handle negative signs in midpoint problems; most errors occur in adding signed numbers.
Updated On: Jun 16, 2026
- $(4, -1)$
- $(4, 1)$
- $(2, 4)$
- $(3, -1)$
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The Correct Option is B
Solution and Explanation
Concept:
Midpoint of two points \((x_1,y_1)\) and \((x_2,y_2)\) is:
\[
\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)
\]
Step 1: Apply formula For \((2,4)\) and \((6,-2)\): \[ x = \frac{2+6}{2} = 4 \] \[ y = \frac{4 + (-2)}{2} = 1 \] Final answer: \[ \boxed{(4,1)} \]
Step 1: Apply formula For \((2,4)\) and \((6,-2)\): \[ x = \frac{2+6}{2} = 4 \] \[ y = \frac{4 + (-2)}{2} = 1 \] Final answer: \[ \boxed{(4,1)} \]
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