Question 734984
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Two lines in a coordinate plane have no points of intersection. 
Which of these could be the equations of the lines?
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A.  4x + 2y =  6   C. 4x +     = 6
   10x + 5y =  7      5x - 10y = 6

B.  4x + 2y =  6   D. 5x + 10y = 6
   10x + 5y = 15      5x - 10y = 6
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<pre>
(A)  The lines have the same slope, but different y-intercepts.
     So, these lines are parallel and have no common points.


(B)  The lines have the same slope and the same y-intercepts.
     So, these lines coincide.


(C)  System (C) is written incorrectly, so I will not discuss/consider it.


(D)  The lines have different slopes, so they intersect each other.


<A>ANSWER</U>.  As far as I can make a conclusion considering cases (A), (B), and (D), lines (A) have no intersection points.
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Solved.


Answer in the post by @lynnlo is incorrect.