line in plane
Equation of a line
Suppose . Then the set of points in the plane that satisfy
where and can not be both 0, is an (infinite) line.
The value of when , if it exists, is called the -intercept. Geometrically, if is the -intercept, then is the point of intersection of the line and the -axis. The -intercept exists iff the line is not parallel to the -axis. The -intercept is defined similarly.
If , then the above equation of the line can be rewritten as
This is called the slope-intercept form of a line, because both the slope and the -intercept are easily identifiable in the equation. The slope is and the -intercept is .
Let and be distinct points in . The closed line segement generated by these points is the set
|Title||line in plane|
|Date of creation||2013-03-22 15:18:29|
|Last modified on||2013-03-22 15:18:29|
|Last modified by||matte (1858)|