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Find the minimum distance from any lattice point to the line $y = \frac{5}{3} x + \frac{12}{7}.$

 Dec 22, 2023
 #1
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(5/3)x   + 12/7   = y

 

5/3  is a  terminating decimal   while   12/7  is  not......so   it will not pass through any lattice points 

 

I also believe that there is  no minimum distance to any lattice point.....

 

The minimum distances will approach zero but they never converge to any particular value 

 

 

 

 

 

cool cool cool

 Dec 22, 2023
edited by CPhill  Jun 6, 2024

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