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

(a,b)=?

1. a(-5+4i)+b(-5-4i)=38

2. a(7+2i)+b(7-2i)=38

=> a=1-6i and b=1+6i

Thanks Heureka, I did not know how to do that :)