Introduction to line segment in geometric:
A line segment is a part of a line that is bounded by two distinct end points and contains every point on the line between its end points. Depending on how the line segment is defined, either of the two end points may or may not be part of the line segment. Two or more line segments may have some of the same relationships as lines, such as being parallel, intersecting, or skew (source: Wikipedia)
Line Segment in Geometric
Euclidean geometric:
Within the Euclidean geometric, a line is a directly curve.
Line is established to contain assured properties which transmit it to other lines also points.
For instance for either two different points, here be a unique line having them, in addition to either two different lines meet at most one point within two dimensions, that is the Euclidean plane, two lines which perform not meet are called similar. Within higher dimensions, two lines do not intersect might be similar if they are limited within a plane.Please express your views of this topic Rectangular Coordinate System by commenting on blog.
Any groups of finitely various lines separations the plane into convex polygons.
These separations are recognized like a collection of lines.
Coordinate geometric:
Lines in a Cartesian plane are able to be illustrated algebraically through linear equations in addition to linear functions.
Two dimensions, the distinguishing equation is frequently known through the slope-intercept form
y = mx + c
Examples for Line Segment in Geometric
Example 1:
Given two line equations are y = 6x-2, y =4 x+8. Find the intersecting point?
Solution:
Point of intersection they will equally contain the similar y-coordinate value.
Set the equations equivalent to all other
6x - 2 = 4x + 8
We can solve:
Rearranging x terms
6x - 4x = 8 + 2
2x = 10
x = 10/2
x = 5
To find y to substitute x value for any given equation
y = 6x - 2
y = 6(5) - 2
= 30 - 2
y = 28
The intersecting point is (5, 28)
Example 2:
Given point of the line is (20, 17) and slope of the line is 7. Find the equation of the line?
Solution:
Given point of the line is (20, 17)
The slope of the line is 7
The equation of the line is y-y0 =m(x-x0)
y - 17 = 7(x - 20)
y - 17 = 7x - 140
7x - y = -140 + 17
7x - y + 123 = 0
Therefore the equation of the line is 7x - y + 123
A line segment is a part of a line that is bounded by two distinct end points and contains every point on the line between its end points. Depending on how the line segment is defined, either of the two end points may or may not be part of the line segment. Two or more line segments may have some of the same relationships as lines, such as being parallel, intersecting, or skew (source: Wikipedia)
Line Segment in Geometric
Euclidean geometric:
Within the Euclidean geometric, a line is a directly curve.
Line is established to contain assured properties which transmit it to other lines also points.
For instance for either two different points, here be a unique line having them, in addition to either two different lines meet at most one point within two dimensions, that is the Euclidean plane, two lines which perform not meet are called similar. Within higher dimensions, two lines do not intersect might be similar if they are limited within a plane.Please express your views of this topic Rectangular Coordinate System by commenting on blog.
Any groups of finitely various lines separations the plane into convex polygons.
These separations are recognized like a collection of lines.
Coordinate geometric:
Lines in a Cartesian plane are able to be illustrated algebraically through linear equations in addition to linear functions.
Two dimensions, the distinguishing equation is frequently known through the slope-intercept form
y = mx + c
Examples for Line Segment in Geometric
Example 1:
Given two line equations are y = 6x-2, y =4 x+8. Find the intersecting point?
Solution:
Point of intersection they will equally contain the similar y-coordinate value.
Set the equations equivalent to all other
6x - 2 = 4x + 8
We can solve:
Rearranging x terms
6x - 4x = 8 + 2
2x = 10
x = 10/2
x = 5
To find y to substitute x value for any given equation
y = 6x - 2
y = 6(5) - 2
= 30 - 2
y = 28
The intersecting point is (5, 28)
Example 2:
Given point of the line is (20, 17) and slope of the line is 7. Find the equation of the line?
Solution:
Given point of the line is (20, 17)
The slope of the line is 7
The equation of the line is y-y0 =m(x-x0)
y - 17 = 7(x - 20)
y - 17 = 7x - 140
7x - y = -140 + 17
7x - y + 123 = 0
Therefore the equation of the line is 7x - y + 123
