The equation of the line through $2 + 3i$ and $0$ can be written as $az + b \overline{z} = 0$for some complex numbers $a$ and $b$. Find the quotient $b/a$ in rectangular form.
I got a = -2+3i and b = 2+3i. For some reason this is wrong.
I used the same process as slope in imaginary plane, but I am getting the result as b = 0. This would mean both b and a are equal to 0. Where did I go wrong?