Introduction of Straight Line
The meaning of "Straight line" described here and it may be compared with the meaning of "circle" as keeping of those points in a plane that are a given distance (the radius) away from a mentioned point, that is called as center point . Circle is a some set of points selected according to their relation to some given parameters (center & radius). Likewise, straight line is a set of points selected according to their relation to some given objects (points & numbers). though, a circle determines its center and radius uniquely; for a straight line the situation is dissimilar from circle.
Definition via distances
Let two different points X and Y be given. The set of all points Z such that
¦XY¦2 +¦XZ¦2=¦YZ¦2
is a straight line.
This is the straight line orthogonal to the line XY through the point X.
The condition ¦XY¦2 +¦XZ¦2=¦YZ¦2 means that the straight lines XY and XZ are orthogonal, that is, the angle YXZ is right (unless Z=X) .
Some properties of lines
Below, all points and lines are positioned in the plane (assumed to be a two-dimensional Euclidean space).
Most basic properties
For each two different points there exists one and keeps only one straight line that contains these two points.
Every straight line contains at least 2 different points.
There exist three points then there not lying on a straight line.
For each and every straight line and every point external the line there exists one and only one straight line through the mentioned point that does not intersect the given straight line.
Further properties
Two straight lines either does not intersect (are parallel), or intersect in a single point, or coincide.
Two straight lines at right angles or perpendicular to same line are parallel to each other (or coincide).
General (or standard) form
General form of the linear equation:
Ax +By = C
Where A, B ≠ 0
Can also be written as: ax + by + c = 0
Slope-intercept form
y = mx + b
Where m - slope of the line
b - y-intercept,
Point-slope form y - y1 = m(x - x1)
(x1,y1) - any point on the line.
Two-point form
Where (x1, y1) and (x2, y2) are two points on the line with x2 ≠ x1.
Symmetric form: Multiplying both sides of this equation by (x2 - x1)
(x2 - x1)(y - y1) = (y2 - y1)(x - x1)
Intercept form
Where a, b ≠ 0
Matrix form
Ax+ By = C
One can alter the equation in matrix form:
Additionally, this representation extends to systems of linear equations.
A1x + B1y = C1
A2x + B2y = C2
Becomes
Email based Straight Line Homework Help -Assignment Help
Tutors at the www.tutorsglobe.com are committed to provide the best quality Straight Line homework help - assignment help. They use their experience, as they have solved thousands of the Straight Line assignments, which may help you to solve your complex Straight Line homework. You can find solutions for all the topics come under the Straight Line. The dedicated tutors provide eminence work on your Geometry Mathematics homework help and devoted to provide K-12 level Geometry Mathematics to college level Geometry Mathematics help before the deadline mentioned by the student. Straight Line homework help is available here for the students of school, college and university. TutorsGlobe assure for the best quality compliance to your homework. Compromise with quality is not in our dictionary. If we feel that we are not able to provide the homework help as per the deadline or given instruction by the student, we refund the money of the student without any delay.
Qualified and Experienced Straight Line Tutors at www.tutorsglobe.com
Tutors at the www.tutorsglobe.com take pledge to provide full satisfaction and assurance in Straight Line homework help. Students are getting Geometry Mathematics homework help services across the globe with 100% satisfaction. We value all our service-users. We provide email based Straight Line homework help - assignment help. You can join us to ask queries 24x7 with live, experienced and qualified Geometry Mathematics tutors specialized in Straight Line.
the procedure of washing begins in the inner wash tub. it includes the adding up of the water and detergent mixture to the clothes.
Arithmetic operators-assignment help, homework help and the key concepts of Arithmetic operators, ASCII character, Increment and Decrement Operators
tutorsglobe.com blood group testing assignment help-homework help by online blood groups tutors
tutorsglobe.com leverage consequence on roe assignment help-homework help by online leverage tutors
theory and lecture notes of finite state machines all along with the key concepts of finite state machines, fsm examples, fsm applications and finite state controller. tutorsglobe offers homework help, assignment help and tutor’s assistance on finite state machines.
the role of the chairman is to direct the board of directors and the role of the chief executive officer (CEO) is to direct the management team.
Low Temperature and Third Law of Thermodynamics tutorial all along with the key concepts of Liquefaction of Gases, Maintenance of Low Temperature, Superconductivity in Metals, Nernst Heat Theorem, Third Law of Thermodynamics, Applications of Superfluidity
tutorsglobe.com plasmodium and malaria assignment help-homework help by online protozoan microbiology tutors
tutorsglobe.com bargaining theory of wages assignment help-homework help by online wages tutors
Profit Sharing and Labour Co-partnership - Workers share in profit might be dealt along with distributed in cash to the workers, credited to the worker's provident fund and pension fund other option is to make a part payment in cash and to credit a part to the provident fund account.
Pteridophytes tutorial all along with the key concepts of Characteristics of Pteridophytes, Relationship of Pteridophytes with Other Groups, Pteridophytes and Bryophytes, Pteridophytes and Flowering Plants and Morphology of a Pteridophyte
Classification of Terpenes tutorial all along with the key concepts of Monoterpenes, Acyclic Monoterpenes, Monocyclic Monoterpenes, Bicyclic Monoterpenes, Sesquiterpenes, Diterpenes, Sesterpenes and Triterpenoids
Many see share options as a poor means of rewarding directors. Warren Buffett, one of the worlds shrewdest and so many successful investors, has made clear his opposition to their use.
www.tutorsglobe.com offers reaction characteristics homework help, reaction characteristics assignment help, online tutoring assistance, organic chemistry solutions by online qualified tutor's help.
tutorsglobe.com optometry assignment help-homework help by online errors of refraction tutors
1930753
Questions Asked
3689
Tutors
1464718
Questions Answered
Start Excelling in your courses, Ask an Expert and get answers for your homework and assignments!!