find y-intercept

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g.shankaran: Master | Next Rank: 500 Posts; Posts: 101; Joined: Tue Oct 27, 2009 8:19 am; Thanked: 4 times; Followed by:2 members

find y-intercept

by g.shankaran » Thu Jun 09, 2011 7:49 am

in the xy-plane, the line k has positive slope and x-intercept 4. If the area of the triangle formed by line k and the two axes is 12, what is the y-intercept of the line k?

-6
-4
-3
3
6

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Source: Beat The GMAT — Problem Solving | Thu Jun 09, 2011 7:49 am

cans: Legendary Member; Posts: 1309; Joined: Mon Apr 04, 2011 5:34 am; Location: India; Thanked: 310 times; Followed by:123 members; GMAT Score:750

by cans » Thu Jun 09, 2011 7:54 am

y=mx+c
m>0
-c/m=4 -> c is less than 0 (y-intercept<0)
area = (1/2)(x-intercept)*(y-intercept) = 12
4*(y-intercept) = 24
y-intercept=6
but as it is less than 0, -6
IMO A

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