Lines with equal slopes are parallel, because they are going the same direction. If the slope and the intercept are the same, the lines are coinciding, because they are on top of each other.
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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.
equal
Yes
Yes, as long as the negative slopes are both equal.
When two lines are perpendicular to each other the product of their slopes is equal to -1.m1*m2 = -1