The line x = 4 is a verticle line because, in a standard x-y graph, where x increases to the right and y increases upwards, the graph x = 4 is all points y, where x is 4. That is a verticle line, with infinite slope.
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So this would be a verticle line which passes through the point at -3.
There is no y intercept, it is a straight verticle line a x = -6. And technically it has "infinite" slope (1/0), but it is more common to say "No slope".
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.