Line L passes through points R(0,-5) and S(4,0) (See Below). Point P with coordinates (x,y) is a point on the line L. Is xy > 0?
1) x > 4
2) -5 < y < 0
1) x > 4
2) -5 < y < 0
- Attachments
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We are given 2 points on the line. Equation for the line can be derived, though not necessary here.
1) x > 4
By looking at the graph, we know that whenever x is greater than 4, y is greater than 0.
Hence xy>0
SUFFICIENT
2) -5 < y < 0
As per the graph, This means y is lying in the 4th quadrant.
Therefore x is greater than 0.
y<0, x>0
hence xy<0
SUFFICIENT
However, I have not seen any question where the 2 statements are in conflict with each other.
Statement 1 says xy>0 and statement 2 says xy<0
I am reluctant to choose D
Is this the OA? or am I missing something?
