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Lines c and d are perpendicular. The slope of line c is -1/3. What is the slope of line d?

Lines c and d are perpendicular. The slope of line c is -1/3. What is the slope of line d?

3
-1/3
1/3
-3




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1 Answer

  1. To find the slope of line d, we need to remember that if two lines are perpendicular, the product of their slopes is -1.

    Given the slope of line c is -1/3, we can set up the equation:

    [

    text{slope of line c} times text{slope of line d} = -1

    ]

    Let ( m_d ) be the slope of line d:

    [

    left(-frac{1}{3}right) times m_d = -1

    ]

    To find ( m_d ), we multiply both sides by -3:

    [

    m_d = -1 times -3 = 3

    ]

    So, the slope of line d is 3.

    Your answer is 3.

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