To find the midpoint of a line segment with endpoints \((x_1, y_1)\) and \((x_2, y_2)\), we use the midpoint formula:
\[ \text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
For the given endpoints \((6, 7)\) and \((1, 4)\):
- \(x_1 = 6\), \(y_1 = 7\)
- \(x_2 = 1\), \(y_2 = 4\)
Now, plug the values into the formula:
\[ \text{Midpoint} = \left( \frac{6 + 1}{2}, \frac{7 + 4}{2} \right) = \left( \frac{7}{2}, \frac{11}{2} \right) \]
Therefore, the midpoint of the segment with the endpoints \((6, 7)\) and \((1, 4)\) is
\[ \left( \frac{7}{2}, \frac{11}{2} \right) \]
or in decimal form, \[ (3.5, 5.5). \]