Answer
The graph of all the complex numbers, $z$, will be a vertical line passing through $x = 1$.
Work Step by Step
For $z = x + yi$,
The real part of $z$ is 1, shall mean,
$x = 1$ or $z = 1 + yi$
The graph of all the complex numbers, $z$, satisfying the captioned condition will be a vertical line passing through $x = 1$.
