Parallel, Perpendicular, or Neither?

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What are parallel lines?

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Parallel lines are lines in a plane that never meet. They have the same slope.

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What are perpendicular lines?

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Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of perpendicular lines are negative reciprocals of each other.

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How do you determine if two lines are parallel from their equations?

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Two lines are parallel if they have the same slope when written in slope-intercept form (y = mx + b).

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How do you determine if two lines are perpendicular from their equations?

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Two lines are perpendicular if the product of their slopes is -1.

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The slope is 4.

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