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. | + | 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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=== Example Problem === | === Example Problem === | ||
* [[2006_AMC_10B_Problems/Problem_12 | 2006 AMC 10B Problem 12]] | * [[2006_AMC_10B_Problems/Problem_12 | 2006 AMC 10B Problem 12]] | ||
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| + | == See also == | ||
| + | * [[Linear]] | ||
Latest revision as of 02:59, 4 August 2006
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 
, where m is the slope of the line and b is the y-intercept. Any two points define a line, and given specific 
one can solve for the line's equation.
Introductory
Example Problem
