The equation of the line x = 4 has no term for y in the equation. Therefore any value of y can be used and the x coordinate is still equal 4. So a straight vertical line, crossing the x axis at (4,0) is the only line which satisfies these conditions.
You can plot some points: (4,0); (4,100); (4,-5265), etc. and then connect the dots to see that it is a straight vertical line.
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No, it is horizontal.
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.