liftoff wrote:
I would go with D.
We are already given one point at the point of intersection.
Statement 1 gives us an extra point therefore we can determine which line is steeper. sufficient
Statement 2 also gives us the same information. sufficient
I was thinking if determining which one is steeper is enough or not.
Per (1) The x-intercept of line m is greater than the x-intercept of line n.
so line m can have a slope of lets say -2. If line n also has a -ve slope then it will need to be 'flatter' than line m for its x intercept to be greater than that of line m. So its slope will need to be > -2 (for -ve slopes flatter line are closer to 0 that slopes of steeper lines). so in this case slope of line n can be something like -1. So slope of n > slope of m (-1>-2).
however, if slope of m is lets say 2, slope of n can be -ve like -2 with a greater x intercept. This satisfies the condition 1, but slope of m> slope of n in this case (2>-2).
Hence, (1) is insufficient.
Similarly we can prove for the y intercept in case of 2nd statement.
The 2 statements taken together, they should still be insufficient.
OA is D. But i'm having trouble understanding it.
Can someone please explain if I'm wrong?