Intercept

Pronunciation: /ˈɪn tərˌsɛpt/ ?

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Manipulative 1: x-intercepts. Created with GeoGebra.

An intercept is a point where a graph intersects (crosses) an axis. A x-intercept is a point where a graph intersects the x-axis. A y-intercept is a point where a graph intersects the y-axis. A z-intercept is a point where a graph intersects the z-axis.

Manipulative 1 shows the x-intercepts of a graph. Manipulative 2 shows the y-intercepts of a graph. Click on the blue curves in the manipulatives and drag them to change the figure. Note that the intercepts change as the graph changes.

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Manipulative 2: y-intercepts. Created with GeoGebra.

References

  1. intercept. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=intercept&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
  2. Bettinger, Alvin K. and Englund, John A.. Algebra and Trigonometry, pp 170-171. International Textbook Company, January 1963. (Accessed: 2010-02-17). http://www.archive.org/stream/algebraandtrigon033520mbp#page/n187/mode/1up/search/intercept.
  3. Hall, Henry Sinclair. A Short Introduction to Graphical Algebra, 2nd ed., pp 5-7. Macmillan and Co. Limited., 1903. (Accessed: 2010-02-17). http://www.archive.org/stream/shortintroductio00halluoft#page/6/mode/1up/search/intercept.

Printed Resources

Cite this article as:


Intercept. 2010-02-17. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/i/intercept.html.

Translations

Image Credits

Revision History


2010-02-17: Added "References" (McAdams, David.)
2009-03-10: Corrected definition of a z-intercept (McAdams, David.)
2008-12-12: Initial version (McAdams, David.)

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