The equation of the line joining the complex numbers $-5 + 4i$ and $7 + 2i$ can be expressed in the form \[az + b \overline{z} = 38\]for som

The equation of the line joining the complex numbers $-5 + 4i$ and $7 + 2i$ can be expressed in the form \[az + b \overline{z} = 38\]for some complex numbers $a$ and $b$. Find the ordered pair $(a, b)$.