The Nature of Mathematics, 12th Edition
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Chapter1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Chapter 14
Chapter 15
Chapter 16
Chapter 17
Chapter 18
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Section 15.1 Homework Hints

    Problem 1
    When you see "(100, -50)" it is an ordered pair with two components; the first component is 100 which indicates the distance to the right of the origin (to the left if it is negative), and the second component is -50 which indicates the distance down from the origin (up if it is positive). This movement to the left or right and up or down locates a unique point; see Figure 15.13.
    Problems 2-6
    There are many problems throughout the text labeled IN YOUR OWN WORDS. Just relax; do not be afraid to give your opinion. Here are some hints:

    Problem 2: Use your own words, but remember "to solve" means to find the replacements that make an equation true, and since there are two variables there will me infinitely many such replacements. In order to show all of these, it is necessary to draw a graph.
    Problem 3: See the slope-intercept form.
    Problem 4: Find the box in the text that describes this process.
    Problem 5: See Example 8.
    Problem 6: See Figure 15.9.

    Problems 7-18
    Choose an x-value and then find the corresponding y-value; write your answer as an ordered pair.  See Examples 2 and 3.
    Problems 19-30
    Plot the given point, and then count our the rise and the run to get the slope point; draw the line passing through those points. See Example 4.
    Problems 31-44
    You should recognize horizontal or vertical lines; for the others use the slope-intercept method. See Examples 5-8.

    Note: Homework Hints are given only for the Level 1 and Level 2 problems.

    However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 problems, check some sources for help on the internet (see the LINKS for that particular section. As a last resort, you can call the author at (707) 829-0606.

    On the other hand, the problems designated "Problem Solving" generally require techniques that do not have textbook examples.

    There are many sources for homework help on the internet.

    Algebra.help
    Here is a site where technology meets mathematics. You can search a particular topic or choose lessons, calculators, worksheets for extra practice or other resources.
    http://www.algebrahelp.com/

    Ask Dr. Math
    Dr. Math is a registered trademark. This is an excellent site at which you can search to see if your question has been previously asked, or you can send your question directly to Dr. Math to receive an answer.
    http://mathforum.org/dr/math/
    Quick Math
    This site provides online graphing calculators. This is especially useful if you do not have your own calculator.
    http://www.quickmath.com/

    The Math Forum @ Drexel
    This site provides an internet mathematics library that can help if you need extra help. For additional homework help at this site, click one of the links in the right-hand column.
    http://mathforum.org/

    Mathematics Home Page
    Access the Clemens and Alcuins Library of CSB/SJU and find one of the world's best collections of mathematical internet sites.
    http://library.csbsju.edu/rqs.phtml?subject_id=32