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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?
The nanotechnology is as new science, to scale nanometric
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Damian Reply
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Introduction about quantum dots in nanotechnology
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nano basically means 10^(-9). nanometer is a unit to measure length.
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s. Reply
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Devang Reply
are you nano engineer ?
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.
what is the actual application of fullerenes nowadays?
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.
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Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
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Do you know which machine is used to that process?
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s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
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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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