The given points are
![(-5-2i),(3+8i)](https://img.qammunity.org/2023/formulas/mathematics/high-school/nfor141hqmg0go6tpdzngtt1svunmt0ffe.png)
These are complex numbers. They work as two-coordinates points because complex numbers have a real part and a complex part. The real part is the horizontal coordinate, and the complex part is the vertical coordinate.
To find the midpoint, we use the following formula
![\begin{gathered} M=((-5+3)/(2),(-2+8)/(2)i) \\ M=((-2)/(2),(6)/(2)i) \\ M=(-1,3i) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/z1ejenej4hpnaidmg5u35wu2yiubix3wo2.png)
Therefore, the middle point is (-1, 3i).