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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.
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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.
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Hi there,
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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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.