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This article explains how to write equations for entrances to a new shopping center that are parallel or perpendicular to a given street. It provides reasoning and possible equations for both scenarios.

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  1. Check it out! 6.1.2: Working with Parallel and Perpendicular Lines

  2. Civil engineers are planning a new shopping center downtown. They would like the entrance to the center to run perpendicular to the street represented by the equation . 6.1.2: Working with Parallel and Perpendicular Lines

  3. Write an equation that would represent the entrance to the shopping center. Explain your reasoning. A second entrance will run parallel to the first entrance. Write an equation that would represent the second entrance to the shopping center. 6.1.2: Working with Parallel and Perpendicular Lines

  4. Write an equation that would represent the entrance to the shopping center. Explain your reasoning. The equation that represents Water Street is . The entrance will be perpendicular to Water Street. The slopes of perpendicular lines are opposite reciprocals. The slope of the equation representing Water Street is . 6.1.2: Working with Parallel and Perpendicular Lines

  5. The reciprocal of is or 5. The opposite of 5 is –5. The location of the entrance was not specified, so any equation with a slope of –5 will be perpendicular to the equation . Possible answers: y = –5x + 2 or y = –5x – 8 6.1.2: Working with Parallel and Perpendicular Lines

  6. A second entrance will run parallel to the first entrance. Write an equation that would represent the second entrance to the shopping center. The slopes of parallel lines are equal. The slope of the equation representing the first entrance is –5. The location of the second entrance was not specified, so any equation with a slope of –5, other than the original equation, will be parallel to the first entrance. Possible answers: y = –5x + 7 or y = –5x – 3 6.1.2: Working with Parallel and Perpendicular Lines

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