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## #1 2013-05-08 06:51:46

mom
Member
Registered: 2012-04-25
Posts: 94

### equation of a parallel line

I am stumped again.

Find the equation of line L in standard form. L is parallel to y=1/3x.
I am not sure why I am thrown off. It shows line L with a point of (2,4)

I have y=-x+6 and I know that can't be correct because the slopw is 1/3 so is it y=-1/3x+6
I am really confused.
Please help to see what the answer is and why so that I can understand.

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## #2 2013-05-08 06:55:49

bob bundy
Moderator
Registered: 2010-06-20
Posts: 7,706

### Re: equation of a parallel line

hi Mom,

To be parallel it must have the same gradient, ie. 1/3

So y = (1/3)x + something..

(2,4) => 4 = (1/3)2 + something => something = 4 - 2/3

Bob

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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## #3 2013-05-08 06:56:51

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,018

### Re: equation of a parallel line

Well, we know that it must be of the form y=1/3 x+n, so we just substitute x=2 and y=4 and solve for n. Can you do that?

Last edited by anonimnystefy (2013-05-08 06:59:03)

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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## #4 2013-05-08 06:58:02

mom
Member
Registered: 2012-04-25
Posts: 94

### Re: equation of a parallel line

Im still lost but thanks Bob

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## #5 2013-05-08 06:58:08

bob bundy
Moderator
Registered: 2010-06-20
Posts: 7,706

### Re: equation of a parallel line

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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## #6 2013-05-08 22:10:34

stapel
Member
Registered: 2006-07-22
Posts: 15

### Re: equation of a parallel line

mom wrote:

Im still lost but thanks Bob

On which part are you lost? Thank you!

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## #7 2013-05-13 15:55:30

Guest

### Re: equation of a parallel line

simple, just note that it goes thru (0,0), so subtract from y and and x the 2 and the 4.
(y-4) = (1/3)(x-2)
that's all there is to it.
very simple.
the end.
lol.