No, it is horizontal.
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That would be because all the graphed values of x are 4. So you can plug anything in for Y and it will still be on that vertical line.
The line x = -4 is vertical, so a line that is perpendicular to it is horizontal, so its slope is 0.
a vertical line at x=3
That's a vertical line; the slope is not defined.
Every point on the line has coordinates of the form (4, y) for different values of y. On a standrad coordinate graph, this will appear as a vertical line.