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Y = -1/2x+4 and y =2x-2

This is parallel? 
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1 Answer

no, it is perpendicular ... parallel means the two lines have the same slope (multiplier of x); perpendicular means the two slopes are negative inverse of each other (when multiplied together, the product is -1).  Since -1/2 * 2 = -1, the two lines are perpendicular.