To find the midpoint of a segment with endpoints \((x_1, y_1)\) and \((x_2, y_2)\), we can use the midpoint formula:
\[ \text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
In this case, the endpoints are \((3, 8)\) and \((-7, 5)\).
Let's assign:
- \(x_1 = 3\), \(y_1 = 8\)
- \(x_2 = -7\), \(y_2 = 5\)
Now we can plug these values into the midpoint formula:
\[ \text{Midpoint} = \left( \frac{3 + (-7)}{2}, \frac{8 + 5}{2} \right) \]
Calculating the x-coordinate:
\[ \frac{3 - 7}{2} = \frac{-4}{2} = -2 \]
Calculating the y-coordinate:
\[ \frac{8 + 5}{2} = \frac{13}{2} = 6.5 \]
Thus, the midpoint of the segment is:
\[ \text{Midpoint} = (-2, 6.5) \]