Describe the locus of points z satisfying the given equation: Im(2iz) = 7.
Let z = x + iy
$
\begin{align}
2iz &=2i(x+iy) \notag\\
&=2ix-2y \notag\\
&=-2y+2xi \notag\\
\end{align}
$
$
\begin{align}
Im(2iz) &=Im(-2y+2xi) \notag\\
&=2x \notag\\
\end{align}
$
=> 2x = 7
=> Vertical line $x = \frac{7}{2}$
