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Berekening van die gradiënt van 'n lyn

Die gradiënt van 'n lyn beskryf hoe steil die lyn is, hoe groot die helling van die lyn is. In die figuur hieronder is lyn P T se helling die grootste. Lyn P S is minder steil as P T maar is steiler as P R , en die lyn P R is steiler as P Q .

Die gradiënt van die lyn word gedefinieer as die verhouding tussen die vertikale verandering in posisie en die horisontale verandering in posisie. Dit kan verstaan word deur te kyk na die lyn as dieskuinssy van die reghoekige driehoek. Die gradiënt is die verhouding van die lengte van die vertikale sy van die driehoektot die horisontale sy van die driehoek. Dink aan 'n lyn tussen punt A met koördinate ( x 1 ; y 1 ) en punt B met koördinate ( x 2 ; y 2 ) .

Gradiënt = y 2 - y 1 x 2 - x 1

Ons kan gradiënt gebruik om te bepaal of twee lyne parallel is aan mekaar of loodreg is op mekaar. As die lyne parallel is ( [link] a) sal hulle dieselfde gradiënt hê, byvoorbeeld m AB = m CD . As hulle loodreg is op mekaar, ( [link] b) dan sal: - 1 m AB = m CD

Byvoorbeeld, die gradiënt van die lyn tussen punt P en Q , met koördinate (2;1) en (-2;-2) ( [link] ) is:

Gradiënt = y 2 - y 1 x 2 - x 1 = - 2 - 1 - 2 - 2 = - 3 - 4 = 3 4

Die volgende video bied 'n opsomming van die gradiënt van 'n lyn.

Gradiënt van 'n lyn

Questions & Answers

what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
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biomolecules are e building blocks of every organics and inorganic materials.
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research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
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what does nano mean?
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nano basically means 10^(-9). nanometer is a unit to measure length.
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Damian Reply
absolutely yes
Daniel
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characteristics of micro business
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for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
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Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
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s.
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for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
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Cied
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Source:  OpenStax, Siyavula textbooks: wiskunde (graad 10) [caps]. OpenStax CNX. Aug 04, 2011 Download for free at http://cnx.org/content/col11328/1.4
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