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Slopes DS

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by rahulvsd » Sat Oct 29, 2011 7:23 am
Line a is defined by the equation y = mx + 4.

Line b is defined the the equation y = px - 2.

If these lines intersect at point C, is either m or p greater than 0?

(1) The x intercept of line b < 0.

(2) | m | > | p |

OA: E
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Source: — Data Sufficiency |
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by shankar.ashwin » Sat Oct 29, 2011 8:51 am
We need to find if either of the lines have a +ve slope.

Both the statements do not provide info to conclude the line has a +ve slope. E IMO
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by parul9 » Sat Oct 29, 2011 10:25 am
statement 1 tells nothing about the slope of b
statement 2 compares absolute values of slope. Nothing can be derived from that either.
Both these statements are hence insufficient. So, A,B and D are out.
Combining the two statements also leads to nothing. C is out.

Answer: E.
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by gmatdriller » Sat Nov 12, 2011 11:42 am
parul9 wrote:statement 1 tells nothing about the slope of b
statement 2 compares absolute values of slope. Nothing can be derived from that either.
Both these statements are hence insufficient. So, A,B and D are out.
Combining the two statements also leads to nothing. C is out.

Answer: E.
I disagree with the bold, red statement above.
From the original equation (y = px - 2), we know the y-intercept is negative.
Also, from (1) we know x-intercept is negative. So, both facts imply p(slope)
is NEGATIVE.

Thus, we can respond to the question: "is m or p > 0?"
No, p is NOT > 0

Other opinions please.
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by bpdulog » Sun Nov 13, 2011 5:47 pm
gmatdriller wrote:
parul9 wrote:statement 1 tells nothing about the slope of b
statement 2 compares absolute values of slope. Nothing can be derived from that either.
Both these statements are hence insufficient. So, A,B and D are out.
Combining the two statements also leads to nothing. C is out.

Answer: E.
I disagree with the bold, red statement above.
From the original equation (y = px - 2), we know the y-intercept is negative.
Also, from (1) we know x-intercept is negative. So, both facts imply p(slope)
is NEGATIVE.

Thus, we can respond to the question: "is m or p > 0?"
No, p is NOT > 0

Other opinions please.
I think he is right actually. All that tells us is that line b cuts through (-2,-2) but doesn't tell us what the slope of the line is.
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by gmatdriller » Tue Nov 15, 2011 2:42 am
@bpdulog:
"I think he is right actually. All that tells us is that line b cuts through (-2,-2) but doesn't tell us what the slope of the line is.
Line b: y = px - 2: the line cuts y-axis at y = -2
From y = px - 2, we know that it cuts y-axis at (0,-2)
The x intercept of line b < 0. : same line cuts x-axis at x < 0
Example: on x-axis we may get (-1,0), (-2,0) on line b since line b cuts x-axis at a negative value.

Pls view the attached.
[/img]
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