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Parallel and Perpendicular Lines

Parallel and Perpendicular Lines

Example 1

Can two lines that intersect be parallel to each other?

Example 2

Can two lines that lie on the same plane be parallel to each other?

Example 3

Line u is parallel to line l and line l is parallel to line i. Is it true that line u is parallel to line i?

Example 4

Line j is parallel to line k. If line j has the equation y = 3x – 1, what slope must line k have?

Example 5

Line p is parallel to line q. If line p has the equation 4x + 5y = 15 and line q passes through point (5, 5), what is the equation of line q?

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