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Source: — Data Sufficiency |

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by Anurag@Gurome » Sat Jun 23, 2012 8:35 am
Bhupisuhag wrote:In the XY-Plane , is the slope of the line k equal to 0 ?

(1) The X- intercept of k is 0
(2) The y-intercept of k is 0.
Just note that any line passing through the origin satisfies both the condition but the line may or may not have slope equal to zero.

Hence, both statements together is insufficient.

The correct answer is E.
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by kalpita123 » Tue Jun 26, 2012 10:17 am
Anurag@Gurome wrote:
Bhupisuhag wrote:In the XY-Plane , is the slope of the line k equal to 0 ?

(1) The X- intercept of k is 0
(2) The y-intercept of k is 0.
Just note that any line passing through the origin satisfies both the condition but the line may or may not have slope equal to zero.

Hence, both statements together is insufficient.

The correct answer is E.

Anurag,
Slope of a line will be zero only when the line is Horizontal ..So, a line passing through the origin cannot have a zero slope..Am i correct? Also, is it applicable to x-axis and y-axis as well? Please explain.
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by eagleeye » Tue Jun 26, 2012 10:40 am
kalpita123 wrote:
Anurag@Gurome wrote:
Bhupisuhag wrote:In the XY-Plane , is the slope of the line k equal to 0 ?

(1) The X- intercept of k is 0
(2) The y-intercept of k is 0.
Just note that any line passing through the origin satisfies both the condition but the line may or may not have slope equal to zero.

Hence, both statements together is insufficient.

The correct answer is E.

Anurag,
Slope of a line will be zero only when the line is Horizontal ..So, a line passing through the origin cannot have a zero slope..Am i correct? Also, is it applicable to x-axis and y-axis as well? Please explain.
Hi kalpita123:

X-axis(y=0) and Y-axis(x=0) both pass through the origin. But X-axis has a slope of 0. For all other lines passing through the origin, slope is not 0. Since X-axis is a possibility here, the correct answer is E.

Let me know if this helps :)
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by kalpita123 » Tue Jun 26, 2012 12:30 pm
eagleeye wrote:
kalpita123 wrote:
Anurag@Gurome wrote:
Bhupisuhag wrote:In the XY-Plane , is the slope of the line k equal to 0 ?

(1) The X- intercept of k is 0
(2) The y-intercept of k is 0.
Just note that any line passing through the origin satisfies both the condition but the line may or may not have slope equal to zero.

Hence, both statements together is insufficient.

The correct answer is E.

Anurag,
Slope of a line will be zero only when the line is Horizontal ..So, a line passing through the origin cannot have a zero slope..Am i correct? Also, is it applicable to x-axis and y-axis as well? Please explain.
Hi kalpita123:

X-axis(y=0) and Y-axis(x=0) both pass through the origin. But X-axis has a slope of 0. For all other lines passing through the origin, slope is not 0. Since X-axis is a possibility here, the correct answer is E.

Let me know if this helps :)
eagleeye:

Thanks for the clarification! You are right, as all vertical lines (including Y-axis) will have undefined slopes.I had assumed the same.

Well, i wanted to know whether a line with a negative fractional slope (say= -1/4) ans a -ve y-intercept (say= -5)will pass through the First Quadrant of the xy-plane or not.The answer will be "No" right?
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by eagleeye » Tue Jun 26, 2012 12:57 pm
kalpita123 wrote:
eagleeye:

Thanks for the clarification! You are right, as all vertical lines (including Y-axis) will have undefined slopes.I had assumed the same.

Well, i wanted to know whether a line with a negative fractional slope (say= -1/4) ans a -ve y-intercept (say= -5)will pass through the First Quadrant of the xy-plane or not.The answer will be "No" right?
You are right! The only one that the line (with a negative slope and -ve y-intercept) can't pass through is the first quadrant. :). In the same way, a line with -ve slope and +ve y-intercept can't pass through the third quadrant!

Let me know if this helps :)
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by kalpita123 » Tue Jun 26, 2012 7:14 pm
eagleeye wrote:
kalpita123 wrote:
eagleeye:

Thanks for the clarification! You are right, as all vertical lines (including Y-axis) will have undefined slopes.I had assumed the same.

Well, i wanted to know whether a line with a negative fractional slope (say= -1/4) ans a -ve y-intercept (say= -5)will pass through the First Quadrant of the xy-plane or not.The answer will be "No" right?
You are right! The only one that the line (with a negative slope and -ve y-intercept) can't pass through is the first quadrant. :). In the same way, a line with -ve slope and +ve y-intercept can't pass through the third quadrant!

Let me know if this helps :)
Perfect!
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