Without an equation, you know nothing about the slope of a line just because x equals 0. Slope is the change in y value divided by the change in x value over a segment of a line. When you only have a single x value, there is no change so the slope is undefined. Or if you are stating the value of x is 0 for all values of y, then the slope is infinite.
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y = x + 0
X=5 is a vertical line, so it has no slope. When I say it has no slope, I don't mean the slope is 0, I mean the slope is nonexistent.
y = x
If: y = 7 then there is no slope and the line will be parallel to the x axis