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This module is from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr. In this chapter the student is shown how graphs provide information that is not always evident from the equation alone. The chapter begins by establishing the relationship between the variables in an equation, the number of coordinate axes necessary to construct its graph, and the spatial dimension of both the coordinate system and the graph. Interpretation of graphs is also emphasized throughout the chapter, beginning with the plotting of points. The slope formula is fully developed, progressing from verbal phrases to mathematical expressions. The expressions are then formed into an equation by explicitly stating that a ratio is a comparison of two quantities of the same type (e.g., distance, weight, or money). This approach benefits students who take future courses that use graphs to display information.The student is shown how to graph lines using the intercept method, the table method, and the slope-intercept method, as well as how to distinguish, by inspection, oblique and horizontal/vertical lines. This module contains the objectives of the chapter "Graphing Linear Equations and Inequalities in One and Two Variables".

After completing the chapter, you should

    Graphing linear equations and inequalities in one variable ( [link] )

  • understand the concept of a graph and the relationship between axes, coordinate systems, and dimension
  • be able to construct one-dimensional graphs

    Plotting points in the plane ( [link] )

  • be familiar with the plane
  • know what is meant by the coordinates of a point
  • be able to plot points in the plane

    Graphing linear equations in two variables ( [link] )

  • be able to relate solutions to a linear equation to lines
  • know the general form of a linear equation
  • be able to construct the graph of a line using the intercept method
  • be able to distinguish, by their equations, slanted, horizontal, and vertical lines

    The slope-intercept form of a line ( [link] )

  • be more familiar with the general form of a line
  • be able to recognize the slope-intercept form of a line
  • be able to interpret the slope and intercept of a line
  • be able to use the slope formula to find the slope of a line

    Graphing equations in slope-intercept form ( [link] )

  • be able to use the slope and intercept to construct the graph of a line

    Finding the equation of a line ( [link] )

  • be able to find the equation of line using either the slope-intercept form or the point-slope form of a line

    Graphing linear inequalities in two variables ( [link] )

  • be able to locate solutions linear inequalitites in two variables using graphical techniques

Questions & Answers

the diagram of the digestive system
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They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
Oluwatobi
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Josephine Reply
Genetics is the study of heredity
Misack
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Misack
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Joseph Reply
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Yousuf Reply
the study of living organisms and their interactions with one another and their environments
AI-Robot
the study of living organisms and their interactions with one another and their environment.
Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
Joseph Reply
what is the blood cells
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list any five characteristics of the blood cells
Shaker
lack electricity and its more savely than electronic microscope because its naturally by using of light
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advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
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is like gone fail us
DENG
cells is the basic structure and functions of all living things
Ramadan
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ISCONT Reply
is organisms that are similar into groups called tara
Yamosa
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Kenna Reply
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,
Hilary
cell is the building block of life.
Condoleezza Reply
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Diversity of living thing
ISCONT
what is cell division
Aron Reply
Cell division is the process by which a single cell divides into two or more daughter cells. It is a fundamental process in all living organisms and is essential for growth, development, and reproduction. Cell division can occur through either mitosis or meiosis.
AI-Robot
What is life?
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life is defined as any system capable of performing functions such as eating, metabolizing,excreting,breathing,moving,Growing,reproducing,and responding to external stimuli.
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Source:  OpenStax, Elementary algebra. OpenStax CNX. May 08, 2009 Download for free at http://cnx.org/content/col10614/1.3
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