To find the midpoint of a segment with given endpoints \((x_1, y_1)\) and \((x_2, y_2)\), you can use the midpoint formula:
\[ \text{Midpoint} = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) \]
Given the endpoints \((3, 1)\) and \((9, 7)\):
- \(x_1 = 3\), \(y_1 = 1\)
- \(x_2 = 9\), \(y_2 = 7\)
Now, plug in these values into the formula:
\[ \text{Midpoint} = \left(\frac{3 + 9}{2}, \frac{1 + 7}{2}\right) \] \[ = \left(\frac{12}{2}, \frac{8}{2}\right) \] \[ = (6, 4) \]
Thus, the midpoint of the segment with endpoints \((3, 1)\) and \((9, 7)\) is \((6, 4)\).
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