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It is a horizontal line in the Cartesian plane, or a vertical line in the complex plane. The reason is that these points satisfy the equation while no others do.
Vertical is defined as the direction or position that is perpendicular to the plane. Horizontal is defined as to be parallel to the horizon.
The horizontal number line on a coordinate plane is called the x-axis, and the vertical number line on a coordinate plane is called the y-axis.
Horizontal, vertical, lateral
Yes.