Sure! Here are the definitions and illustrations of the terms "coordinate plane" and "ordered pair":
Coordinate Plane
Definition:
A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line called the x-axis and a vertical line called the y-axis. The point where these two axes intersect is called the origin (0, 0). The plane is divided into four quadrants, labeled I, II, III, and IV, based on the signs of the coordinates in each quadrant.
Illustration:
y
|
II | I
|
-------|-------
|
III | IV
|
x
Ordered Pair
Definition:
An ordered pair is a pair of numbers used to represent a specific point on the coordinate plane. It is usually written in the form (x, y), where 'x' is the value along the horizontal axis (x-axis) and 'y' is the value along the vertical axis (y-axis). The order of the numbers is important—(3, 2) is different from (2, 3).
Illustration:
For example, the ordered pair (3, 2) is represented on the coordinate plane as follows:
y
|
|
II | I
|
| *
-------|---------
| (3, 2)
III | IV
|
x
In this illustration, the point corresponding to the ordered pair (3, 2) is plotted at the intersection of x = 3 and y = 2 on the coordinate plane.
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