Math Tutoring on Determining Linear Equations of Parallel and Perpendicular Lines
Parallel lines are two lines that never intersect. Two lines are parallel if they have the same slope and different y- intercepts.
So if they're both in slope-intercept form m1 must equal m2 and b1 cannot equal b₂.
Perpendicular lines are lines that intersect and form a right angle
or a 90 degree angle. Two lines are perpendicular if the product of the slopes is -1 or if the slopes are negative reciprocals. The only exception to this rule is if one line is vertical and the other is horizontal, they are also perpendicular.
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1. How can you determine two lines are parallel in terms of slope?
2. How can you determine two lines are perpendicular in terms of slope?
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