Yes.
All you need is three mutually perpendicular axes (instead of two). To visualise this, look at the corner of a room. There will be three lines coming together at the corner: floor and one wall, floor and another wall, and the two walls. These three lines would act as your axes to describe the 3-d space of the room. The axes are usually labelled x, y and z.
Mathematicians (and physicists) have no problem in dealing with coordinate systems in 4 or more dimensions.
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Another name for a coordinate plane is a Cartesian plane. It is named after the mathematician and philosopher René Descartes, who introduced the concept of using two perpendicular number lines to locate points in space. The horizontal line is called the x-axis, and the vertical line is called the y-axis. Points are located on the plane using ordered pairs (x, y).
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It is located on y-axis.
The center of a coordinate plane is called the origin. The origin is the ordered pair (0,0).