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Question

Line m has a negative slope and a negative y-intercept. Line n is parallel to line m and has a positive y-intercept. The x-intercept of n must be

A
negative and greater than the x-intercept of m
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B
negative and less than the x-intercept of m
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C
zero
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D
positive and greater than the x-intercept of m
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E
positive and less than the x-intercept of m
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Solution

The correct option is D positive and greater than the x-intercept of m
The slope of m is negative and the line has negative y-intercept, which implies the line m has negative x-intercept and the line lies in 2nd, 3rd, 4th quadrants
Given that line n is parallel to m and has positive y-intercept , which implies the line shifts upwards by some distance, which means it lies in 1st, 2nd, 4th quadrants.
So the line n has positive x-intercept and greater than x -intercept of m
So, the correct option is D.

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