## RE: [PrimeNumbers] Question on slopes and intersects

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• Your problem as stated has no solution. Consider the line y = x*sqrt(2). Any point (x1,y1) on the line, can not have both x and y be whole numbers. Perhaps
Message 1 of 3 , Sep 7, 2004
Your problem as stated has no solution.

Consider the line y = x*sqrt(2).
Any point (x1,y1) on the line, can not have
both x and y be whole numbers.

Perhaps you wish to re-state your problem.

Milton L. Brown
miltbrown@...

> [Original Message]
> From: Kevin Acres <research@...>
> Date: 9/6/2004 5:35:42 PM
> Subject: [PrimeNumbers] question on slopes and intersects
>
> Hi,
>
> I have a question which is related to factoring composite numbers,
> although why may not be obvious at first.
>
> I have a (straight) line x1,y1 to x2,y2 where x1 and x2 are whole
> numbers and y1 and y2 are not.
>
> My question is, can I calculate the first time the line intersects an
> x,y coordinate where both x and y are whole numbers.
>
> Kevin.
>
>
>
>
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> The Prime Pages : http://www.primepages.org/
>
>
>
>
>
>
• ... eventually the ... I just ... This doesn t involve factoring; all you have to do is write the slope of the line as a fraction in lowest terms, which can be
Message 2 of 3 , Sep 7, 2004
--- In primenumbers@yahoogroups.com, Kevin Acres <research@r...> wrote:
> I should add the clarification that y1 and y2
> even though not whole numbers are also not irrational. So
eventually the
> line will intersect an x,y coordinate where both are whole numbers,
I just
> don't know how to calculate this.

This doesn't involve factoring; all you have to do is write the slope
of the line as a fraction in lowest terms, which can be done with a
gcd computation.

Sam
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