how many interger coordinates

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blaster: Master | Next Rank: 500 Posts; Posts: 233; Joined: Mon Jun 09, 2008 1:30 am; Thanked: 5 times

by blaster » Wed Dec 08, 2010 10:06 am

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Source: Beat The GMAT — Problem Solving | Wed Dec 08, 2010 10:06 am

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Wed Dec 08, 2010 10:21 am

blaster wrote:

The equation of the line is y = -3/5(x) + 30. Every x value that is a multiple of 5 will yield a corresponding y value that is an integer. Since between 0 and 50 there are 50/5 = 10 multiples of 5, 10 points on the line segment will have coordinates that are both integers.

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