Give the ordered pairs for the points labeled A-F in the...

Give the ordered pairs for the points labeled $A-F$ in the figure. (All coordinates are integers.) Tell the quadrant in which each point is located. See Example $5 .$
The origin is represented by the ordered pair

Key Concepts

Cartesian Coordinate System

The Cartesian coordinate system is a method for representing points on a plane using two perpendicular axes, typically labeled as the x-axis (horizontal) and y-axis (vertical). This system allows every point on the plane to be specified by an ordered pair of numbers, which represent its horizontal and vertical distances from a fixed reference point known as the origin.

Ordered Pair

An ordered pair is a set of two numbers typically written in the form (x, y) that uniquely identifies a point in the Cartesian coordinate system. The first number corresponds to the horizontal position (x-coordinate) and the second number corresponds to the vertical position (y-coordinate), making it essential for pinpointing locations on the plane.

Quadrant Identification

The Cartesian plane is divided into four quadrants by the x-axis and y-axis. Each quadrant represents a region where the signs of the x and y coordinates are consistent; for example, points in the first quadrant have both positive x and y values. Recognizing the quadrant for any given point is crucial for understanding its position relative to the origin.

Integer Coordinates

Integer coordinates refer to points on the Cartesian plane where both the x-coordinate and y-coordinate are whole numbers. This restriction simplifies the plotting process and makes it easier to identify the precise location of points when looking at a graph or solving problems involving discrete positions.

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