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You would have to find the slope of each line. If the two slopes are equal, the lines are parallel. The slopes are equal if the relationship between x and y in one equation is the same as the relationship between x and y in the other equation. In other words, if you can express both equations in the form y = mx + b, then if the m in one equation is the same number as the m in the other equation, the two slopes are equal.

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