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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.)

 Nov 28, 2020
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When x = 0 , y = 18

 

When  x = 9, y  = 0

 

The line passes through a lattice point  for every two  units it rises from right to left

 

So......the number of lattice points   is   1  + [ 18 - 0 ]  / 2   =   1 + 18/2  =   1 + 9      =  10

 

cool cool cool

 Nov 28, 2020

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