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27 Sep 2011, 23:41
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Line m passes through the origin. Line l is parallel to line m. What are the equations of the two lines?
(1) The horizontal distance between the two lines is 5 units.
(2) Line l has a y-intercept of 2.5.
(1) The horizontal distance between the two lines is 5 units.
(2) Line l has a y-intercept of 2.5.
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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27 Sep 2011, 23:59
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The answer is (C)
To find the equation of a line, we need to know either
1) slope and one point on the line
2) 2 points on the line
The question states that line m passes through the origin (0,0). But does not mention the slope. Hence we can't determine its equation.
--------------
Statement 1 =>
Horizontal distance = 5 units. i.e X-intercept of line l = 5 units. But we still don't know the slope.
This statement in not sufficient.
Statement 2=>
Y intercept of line l = 2.5 units. No info on slope
This statement is not sufficient.
Together 1 & 2 => 2 points on line l (x intercept & y intercept). Which allows to determine equation of line l.
The slope of line l and origin (0,0) gives equation of line m.
To find the equation of a line, we need to know either
1) slope and one point on the line
2) 2 points on the line
The question states that line m passes through the origin (0,0). But does not mention the slope. Hence we can't determine its equation.
--------------
Statement 1 =>
Horizontal distance = 5 units. i.e X-intercept of line l = 5 units. But we still don't know the slope.
This statement in not sufficient.
Statement 2=>
Y intercept of line l = 2.5 units. No info on slope
This statement is not sufficient.
Together 1 & 2 => 2 points on line l (x intercept & y intercept). Which allows to determine equation of line l.
The slope of line l and origin (0,0) gives equation of line m.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Verbal Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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