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parallel 1
if 2 non vert lines are parallel, then their slopes are equal
parallel 2
if the slopes of 2 non vert lines are equal, then the lines are parallel
perpendicular 1
if 2 lines are perpendicular and neither is vertical, each lines slope is the opposite reciprocal of the other’s
perpendicular 2
if a line’s slope is the opposite reciprocal of another line’s slope, then the 2 lines are perpendicular