Which statement accurately describes the purpose and structure of the coordinate plane?
Question
Which statement accurately describes the purpose and structure of the coordinate plane?
Solution
The coordinate plane, also known as the Cartesian plane, serves the purpose of visually representing mathematical concepts and relationships between numbers. It is a two-dimensional surface formed by the intersection of two perpendicular lines, known as axes.
The horizontal axis is typically referred to as the x-axis, while the vertical axis is referred to as the y-axis. The point where these two axes intersect is known as the origin, which is the point (0,0).
The plane is divided into four quadrants by these axes. The quadrants are labeled counterclockwise from the top right as Quadrant I, Quadrant II, Quadrant III, and Quadrant IV.
Each point in the plane is represented by an ordered pair of numbers (x, y). The first number, or x-coordinate, represents the horizontal distance of the point from the origin. The second number, or y-coordinate, represents the vertical distance of the point from the origin.
In summary, the purpose of the coordinate plane is to provide a visual way to represent and analyze mathematical relationships, and its structure is a two-dimensional plane divided into four quadrants by two perpendicular axes.
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