If line L passes through points (r,-s) and (t,u), is the slope of the line negative?
(1) r>t
(2) u>-s
[spoiler]OA:C[/spoiler]
I was wondering if this data is sufficient the know the signs of the 4 variables?
Eg: If 's' is negative, then -(-s) makes it positive & if 's' is positive then -(s) makes it negative. I might be over-thinking this.
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Coordinate Geometry .. If line L passes through points
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Slope = (u-(-s)) / (t-r) = (u+s)/(t-r).Yaj wrote:If line L passes through points (r,-s) and (t,u), is the slope of the line negative?
(1) r>t
(2) u>-s
[spoiler]OA:C[/spoiler]
Question rephrased: Is (u+s)/(t-r) < 0?
Statement 1: r>t
Thus:
0 > t-r
t-r < 0.
No information about u+s.
INSUFFICIENT.
Statement 2: u>-s
Thus:
u+s > 0.
No information about t-r.
INSUFFICIENT.
Statements combined:
(u+s)/(t-r) = positive/negatve = negative.
Thus, (u+s)/(t-r) < 0.
SUFFICIENT.
The correct answer is C.
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As a tutor, I don't simply teach you how I would approach problems.
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