Learning Objectives:

__Math Tutoring on Determining Linear Equations of Parallel and Perpendicular Lines__

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**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 **m _{1}** must equal

**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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**Hook Questions:**

*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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