+0  
 
-1
46
1
avatar+15 

If $x \geq 0$ and $y \geq 0$, how many lattice points does the line $y = -2x + 18$ pass through? (A lattice point is a point with integer coordinates.)

 Dec 2, 2020
 #1
avatar+114592 
+1

Note  that rhe line rises from right to left  and  y changes  by  2  when x changes by -1

 

So.... (9,0)  will  be a lattice point   and (0,18) will be a lattice point

 

So....the number of lattice points =    [ 9 - 0 ] + 1  =   10 lattice points

 

Here's a graph : https://www.desmos.com/calculator/drzzupjy3g

 

 

cool cool cool cool

 Dec 2, 2020

43 Online Users

avatar