Difference between revisions of "1989 AHSME Problems/Problem 16"
(Created page with "Since the endpoints are (3,17) and (48,281), the line that passes through these 2 points has slope <math>m=\frac{281-17}{48-3}=\frac{264}{45}=\frac{88}{15}</math>. The equation o...") |
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Revision as of 22:17, 29 February 2012
Since the endpoints are (3,17) and (48,281), the line that passes through these 2 points has slope . The equation of the line passing through these points can then be given by . Since is reduced to lowest terms, in order for to be integral we must have that . Hence is 3 more than a multiple of 15. Note that corresponds to the endpoint . Then we have , , and where corresponds to the endpoint . Hence there are 4 in all.