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.
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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.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.
Hence, both statements together is insufficient.
The correct answer is E.
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Anurag@Gurome wrote: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.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.
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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Hi kalpita123:kalpita123 wrote:Anurag@Gurome wrote: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.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.
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.
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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eagleeye:eagleeye wrote:Hi kalpita123:kalpita123 wrote:Anurag@Gurome wrote: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.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.
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.
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
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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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!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?
Let me know if this helps
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Perfect!eagleeye wrote: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!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?
Let me know if this helps