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How many lattice points (points with integer coordinates) are on the line segment whose endpoints are (3,17) and (48,281)? (Include both endpoints in your count.)

 Apr 6, 2019

Best Answer 

 #1
avatar+27908 
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There are four points.

 

The slope of the line is (281-17)/(48-3) = 88/15, so for each 15 lattice points to the right of 3 you move up by 88 lattice points. 

 Apr 6, 2019
 #1
avatar+27908 
+3
Best Answer

There are four points.

 

The slope of the line is (281-17)/(48-3) = 88/15, so for each 15 lattice points to the right of 3 you move up by 88 lattice points. 

Alan Apr 6, 2019

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