The z-axis is the vertical line along which the walls intersect. The y-axis is the horizontal line along which the wall to your right and the floor intersect. The x-axis is the horizontal line along which the wall to your left and the floor intersect. You can imagine the origin being the point where the walls in the corner of a room meet the floor. The three axes intersect at the point called the origin. ![]() The Cartesian coordinate system is based on three mutually perpendicular coordinate axes: the x-axis, the y-axis, and the z-axis, See Figure 6 below. Coordinates are determined according to the east-west for x-axis north-south for y-axis, and up-down for the z-axis displacements from the origin. The z axis, passes through the origin of the xy-plane. In three-dimensional space(xyz space), oriented at right angles to the xy-plane. The point of intersection of the coordinate axes is denoted by O and is the origin of the coordinate system. The two number lines are called coordinate axes the horizontal line is the x axis, the vertical line is the y axis, and the coordinate axes together form the Cartesian coordinate system or a rectangular coordinate system. The other number lines horizontal with its positive direction to the right and negative direction to the left. We make one of the number lines vertical with its positive direction upward and negative direction downward. ![]() Assign a set of equally space graduations to the x and y axes starting at the origin and going in both directions, left and right (x axis) and up and down (y axis) point along each axis may be established. ![]() To do this, we construct two perpendicular coordinate line that intersect at their origins for convenience. Just as points on the line can be placed in one to one correspondence with the real number line, so points in plane can be placed in one to one correspondence with pairs of real number line by using two coordinate lines.
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