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

 

\(\phantom{y = -2x + 18}\)

 Jun 19, 2022
 #1
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The first point in Quadrant 1 will be \((0,18)\)

 

The last point will be \((18,0)\)

 

Note that there will be a point for every x value, between 0 and 18. 

 

Now, can you tell me how many lattice points that line passes through?

 Jun 19, 2022

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