In the coordinate graph above, if the line passes through the origin,

Question

https://gmatclub.com/forum/download/file.php?id=28969 In the coordinate graph above, if the line passes through the origin, which of the following could be the coordinates of point P? A. (1, 1) B. (−1, 0) C. (−1, 1) D. (−2, 0) E. (−2, −1) 2016-01-17_2244.png

somtsat99 · Answer

I feel the answer is E. Slope of (2,1) & (0,0) should be same as P(x,y). Also it lies in third quadrant where both x & y are negative.

FightToSurvive · Answer

(2,1) and (0,0)
Slope, m = (y2-y1)/(x2-x1) = 1-0/2-0
 = 1/2

Y= mx + c
Substituting X=0 and y = 0,
C=0.
Therefore y=0.5x
Only option E satisfies this equation.

davedekoos · Answer

For any line passing through the origin, every point (a,b) has a corresponding point (-a,-b).

We are given that the line passes through the origin, and point (2,1). Therefore the point (-2,-1) must also be on the line.

Answer E

vibhavdwivedi · Answer

well the trick that i used to solve this question was point P lies in 3rd quadrant 
so both x and y has to be negative which is only option E.

also the right way is to find the approach from the given point and origin we know that the slope is 1/2.. so we can check that out..

i used mixed approach.. first as i assumed E, i then checked the slope,

LogicGuru1 · Answer

Two methods to solve this
Visual method :- P lies in third quadrant. In Q III both x and y are always negative
Therefore only E matches out requirement,
Answer is E

Algebric Method :-
slope = y2-y1/x2-x1
at x=0 y = 0 (as per the diagram, because the line is passing through the centre)
therefore 
Slope = 2-0/1-0
y/x=2
y=1/2 x + 0
or x=2y

Only E is the solution to this equation

ANSWER IS E

Luca1111111111111 · Answer

P lies in Quadrant III, so x and y must be negative. The only answer that satisfies this criterion is E

LeoN88 · Answer

P is in the third quadrant where both the coordinates are -ve.  So E

CrackverbalGMAT · Answer

The signs of both the coordinates in Quadrant III for the point P are negative.

The only answer option with both coordinates negative are in option e.

(option e)

D.S
GMAT SME

bumpbot · Answer

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In the coordinate graph above, if the line passes through the origin,

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In the coordinate graph above, if the line passes through the origin,

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