91Ó°ÊÓ

An ordered pair is essentially a combination of two numbers placed together in a specific order, like this:

• (x, y)

The first number, known as the x-coordinate, shows how far we should move from the origin along the horizontal axis. The second number, called the y-coordinate, indicates the movement up or down from x along the vertical axis.
The order is vital because changing the sequence of numbers changes the location of the point. For instance, in the ordered pair (4, -1), 4 is associated with the x-axis and -1 is associated with the y-axis. This pair helps pinpoint an exact location on the plane.
Remember: The order in 'ordered pairs' is what keeps things running smoothly in navigating the xy-coordinate plane.

Plotting points on a coordinate plane involves identifying a unique position corresponding to an ordered pair. Here’s how it’s done:

• Begin at the origin (0,0)
• Move horizontally according to the x-coordinate.
• After establishing your x position, move vertically based on the y-coordinate.

For example, to plot the point A(4, -1), begin at (0,0), move 4 units to the right (positive x direction), then 1 unit down (negative y direction). You’ll find point A in the lower right section of the plane.
It's important to note that the coordinate values determine the direction and distance in each step.

The coordinate plane is divided into four sections, known as quadrants. These quadrants are defined by the positive and negative directions of the x and y axes.
Here's what you need to know about each quadrant:

• First Quadrant: Both x and y coordinates are positive.
• Second Quadrant: x is negative, y is positive.
• Third Quadrant: Both x and y are negative.
• Fourth Quadrant: x is positive, y is negative.

For point A(4, -1), it lies in the fourth quadrant due to the positive x-coordinate (4) and negative y-coordinate (-1). Understanding quadrants helps in quickly estimating the general location of points before fine-tuning their exact positions.