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They are not parallel.
Take any two lines and look at their slopes. -- If the slopes are equal, then the lines are parallel. -- If the product of the slopes is -1, then the lines are perpendicular.
For two dimensional lines: Get the formulas for the two lines into a format so that you can evaluate the slope. If the slopes are different, then they will intersect. If the slopes are the same, then you have two parallel lines, or possibly, the two equations describe the same line.
Yes
When two lines are parallel, they have the same slope. For example:y=5x-3 andy=5x+9These lines are parallel, because they have the same slope.When two lines are perpendicular they have negative reciprocal slopes. For example:y=2x-6 andy=-1/2x+2These lines are parallel, because they have negative or opposite reciprocal slopes.