they need to look parallel
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If you want to graph parallel lines, they need to have the same slope (Ex. 2x+2 and 2x+3)- parallel lines cannot have the same y-intercept because the two line would be the same. Perpendicular lines slopes need have to be opposite reciprocals (Ex. -2x+4 and +1/2x+3)- perpendicular lines can have the same y-intercepts, it doesn't make a difference.
You need to know what the graph points are.
Parallel lines would always lie in the same plane. They would need to be skew lines.
no, if two lines are not parallel then the will eventually have to intersect.Alternate perspective:Yes, if two lines are non-parallel, they need not intersect in three dimensional space.
Parallel lines are lines that share the same slope (number in front of the x) In this case you need two lines that have 2x to be considered parallel to one another.