Difference between revisions of "Line"

 
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A ''line'' in the euclidean sense is defined as the shortest distance between two points.  It is defined to be in 1 direction only, i.e. infiinitly thin but also infinitly long. In the [[cartesian coordinate system]] it is usually described as an equation in ''x'' and ''y'' of the form <math>y=mx+b</math> where ''m'' is the [[slope]] of the line and ''b'' is the [[y-intercept]]. Any two points define a line, and given specific <math>(x_1,y_1)</math>  <math>(x_2,y_2)</math> one can solve for the line's [[equation]].
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A ''line'' in the euclidean sense is defined as the shortest distance between two points.  It is defined to be in 1 direction only, i.e. infinitely thin but also infinitely long. In the [[Cartesian coordinate system]], it is usually described as an equation in ''x'' and ''y'' of the form <math>y=mx+b</math>, where ''m'' is the [[slope]] of the line and ''b'' is the [[y-intercept]]. Any two points define a line, and given specific <math>(x_1,y_1)</math>  <math>(x_2,y_2)</math> one can solve for the line's [[equation]].
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== Introductory ==
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=== Example Problem ===
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* [[2006_AMC_10B_Problems/Problem_12 | 2006 AMC 10B Problem 12]]
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== See also ==
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* [[Linear]]
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Latest revision as of 17:40, 9 May 2024

A line in the euclidean sense is defined as the shortest distance between two points. It is defined to be in 1 direction only, i.e. infinitely thin but also infinitely long. In the Cartesian coordinate system, it is usually described as an equation in x and y of the form $y=mx+b$, where m is the slope of the line and b is the y-intercept. Any two points define a line, and given specific $(x_1,y_1)$ $(x_2,y_2)$ one can solve for the line's equation.


Introductory

Example Problem


See also

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