In the two dimensional Cartesian coordinate system, yes.
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A line that followed y = 0 would be exactly the same as the line of the x axis.
Cuts through the y axis at: (0, -12) Cuts through the x axis at: (-3, 0) and (4, 0)
When x = 0, the point that has (0, y) coordinates will be on the y-axis for any y.
rearrange: y = 3x - 3, which crosses the x-axis when y = 0, ie when x = 1
Yes, x = -3 would represent a vertical line at abscissa -3, parallel to the y-axis.