To find the midpoint of a line segment defined by two endpoints \((x_1, y_1)\) and \((x_2, y_2)\), you can use the midpoint formula:
\[ \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
Given the endpoints \((7, 5)\) and \((0, 10)\), we have:
- \(x_1 = 7\)
- \(y_1 = 5\)
- \(x_2 = 0\)
- \(y_2 = 10\)
Now substitute these values into the midpoint formula:
\[ \text{Midpoint} = \left( \frac{7 + 0}{2}, \frac{5 + 10}{2} \right) \]
Calculating the x-coordinate:
\[ \frac{7 + 0}{2} = \frac{7}{2} = 3.5 \]
Calculating the y-coordinate:
\[ \frac{5 + 10}{2} = \frac{15}{2} = 7.5 \]
Therefore, the midpoint of the segment is:
\[ \left( 3.5, 7.5 \right) \]