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Chapter 12—Graphing

12-1 Using the Rectangular Coordinate Plane

Definition

A rectangular coordinate plane is a 2-dimensional graphing system that allows you to specify the exact location of a point, lines, and plane figures.

This kind of graph is used for representing the position of points, lines, and plane figures

Points plotted on a
coordinate plane.

Lines plotted on a
coordinate plane.

Plane figures plotted on a
coordinate plane.

 

The main part of the rectangular coordinate plane are the x axis, the y axis, and the origin.

The x axis:

  • Is horizontal, running straight left and right.
  • Is a number line that increases from left to right.

The y axis

  • Is vertical, or perpendicular to the x axis.
  • Is a number line that increases from bottom to top.

The origin

  • Is the point where the x and y axes meet.
  • Is the zero point on both of the axes.
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Determining the Coordinates of a Point Located on the Coordinate Plane

Points on a plane are specified in terms of two numbers:  the x-axis position and the y-axis position. These two numbers are shown as ordered pair a pair of numbers that are always written in a specific order:  x position, followed by the y position.  Here is an example:

Notice the location of the point on this coordinate plane. If you follow along the x axis, you can see that the point is located at 4. And if you follow along the y axis, the point is located at 2. So for this particular point, x = 4 and y = 2. Or to write it as an ordered pair, we say this point is located at (4,2) on the coordinate plane.

More Examples

Scroll down to see all of the examples

Examples & Exercises

Work on these endless examples and exercises until you can determine the coordinates of points on a plane ... without error.

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Author: David L. Heiserman
Publisher: SweetHaven Publishing Services

Copyright © 2007, David L. Heiserman
All Rights Reserved