Line m and n are perpendicular to each other. Is the abscissa of their intersection -1?
1) The slope of m=1/7
2) n passes through point (0,4)
oa E
lines
This topic has expert replies
GMAT/MBA Expert
- Anurag@Gurome
- GMAT Instructor
- Posts: 3835
- Joined: Fri Apr 02, 2010 10:00 pm
- Location: Milpitas, CA
- Thanked: 1854 times
- Followed by:523 members
- GMAT Score:770
Abscissa means the x-coordinate.mariah wrote:Line m and n are perpendicular to each other. Is the abscissa of their intersection -1?
1) The slope of m=1/7
2) n passes through point (0,4)
oa E
(1) Slope of m = 1/7 and lines m and n are perpendicular means that the product of their slopes should be -1.
So, slope of n = -7 but the x-coordinate of the intersection may or may not be -1; NOT sufficient.
(2) n passes through point (0,4) but we cannot find the point of intersection of the 2 lines using this info; NOT sufficient.
Combining (1) and (2), equation of line n is (y - 4) = -7(x - 0) but we don't know the equation of line m; NOT sufficient.
The correct answer is E.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
-
- Master | Next Rank: 500 Posts
- Posts: 382
- Joined: Thu Mar 31, 2011 5:47 pm
- Thanked: 15 times
- ronnie1985
- Legendary Member
- Posts: 626
- Joined: Fri Dec 23, 2011 2:50 am
- Location: Ahmedabad
- Thanked: 31 times
- Followed by:10 members
S1:-
The slope of m is 1/7 means:-
m: y = (1/7)x+c1 and n: -7x+c2. Since no other info is available it cannot be solved for x or y
Not Sufficient
S2:-
n: y = nx+4, nothing else can be figured out.
Comb:-
m: y = (1/7)x+c1
n: y = -7x+4
Since C1 not known, it cannot be said that the x value of intersection is -1.
(E) is answer.
The slope of m is 1/7 means:-
m: y = (1/7)x+c1 and n: -7x+c2. Since no other info is available it cannot be solved for x or y
Not Sufficient
S2:-
n: y = nx+4, nothing else can be figured out.
Comb:-
m: y = (1/7)x+c1
n: y = -7x+4
Since C1 not known, it cannot be said that the x value of intersection is -1.
(E) is answer.
Follow your passion, Success as perceived by others shall follow you