#### Answer

The graph of all the complex numbers, $z$, will be a horizontal line passing through the imaginary axis at $i$.

#### Work Step by Step

For $z = x + yi$,
The imaginary part of $z$ is 1, shall mean,
$y = 1$ or $z = x + i$
The graph of all the complex numbers, $z$, satisfying the captioned condition will be a horizontal line passing through the imaginary axis at $i$.