Loading [MathJax]/jax/output/SVG/jax.js
 
+0  
 
0
40
1
avatar+789 

How many lattice points (points with integer coordinates) are on the line segment whose endpoints are (3,17) and (82,150)?  (Include both endpoints in your count.)

 Jun 27, 2024

Best Answer 

 #1
avatar+14 
+1

The slope of the line is 15017823=13379 .(This cannot be further simplified). Starting from point (3,17), the next point with integer coords will be (82,150), which is the second endpoint. So there are only 2 lattice points in the line, that being the two endpoints.

 Jun 27, 2024
 #1
avatar+14 
+1
Best Answer

The slope of the line is 15017823=13379 .(This cannot be further simplified). Starting from point (3,17), the next point with integer coords will be (82,150), which is the second endpoint. So there are only 2 lattice points in the line, that being the two endpoints.

AsianMathGuy Jun 27, 2024

2 Online Users

avatar