2005 AMC 12A Problems/Problem 12
Problem
A line passes through and . How many other points with integer coordinates are on the line and strictly between and ?
Solution
For convenience’s sake, we can transform to the origin and to (this does not change the problem). The line has the equation . The coordinates are integers if , so the values of are , with a total of coordinates.
See also
2005 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 11 |
Followed by Problem 13 |
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All AMC 12 Problems and Solutions |
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