It depends on the information being plotted. It is often the independent variable.
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No, it could be a qualitative variable.
It is simply a horizontal line. No special name, unless you're referring to the axis/axes. The horizontal line is the 'x-axis' in a graph.
It is the horizontal line at the bottom of the chart.
The x-axis is the horizontal line on a graph.
The x-axis represent the horizontal line while the y-axis represents the vertical line.