Coordinates – abscissa, ordinate, coordinate plane

The coordinate plane is a two-dimensional surface defined by two intersecting number lines: the x-axis (OX) and the y-axis (OY), which meet at point O. This intersection point O is known as the origin of the coordinate plane. In this context:

O is the origin where the x-axis and y-axis intersect.
OX is the horizontal axis, commonly referred to as the x-axis.
OY is the vertical axis, commonly referred to as the y-axis.

Regarding the axes:

The x-axis (OX) is the horizontal number line in the coordinate plane.
The y-axis (OY) is the vertical number line in the coordinate plane.

Coordinates of a Point:

The position of a point on the coordinate plane is specified by a pair of numerical coordinates, which correspond to its distances from the x-axis and y-axis.

The position of a point relative to the x-axis (OX) is indeed described by the x-coordinate, commonly called the abscissa.
The position of a point relative to the y-axis (OY) is indeed described by the y-coordinate, commonly called the ordinate.
It is also correct that the coordinates of a point in the coordinate plane are denoted by a pair of numbers in the form A(x, y), where A is the point’s label, x is the abscissa, and y is the ordinate

Parts of the coordinate pane

The axes of the coordinate plane divide the plane into four sections, which are called quadrants of the coordinate plane. They are denoted by Roman numerals I, II, III, and IV.

Example:

Consider point A on the OXY coordinate plane:

Its position relative to the x-axis (OX) is 2. This value is the abscissa of point A.
Its position relative to the y-axis (OY) is 3. This value is the ordinate of point A.

Therefore, the coordinates of point A in the OXY coordinate plane are denoted as A(2, 3).