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Math Help - slope of a line

  1. #1
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    Talking slope of a line

    A line is represented by the equation x = 6. What is the slope of the line?

    a. 0 b. 5/6

    c. 6 d. undefined

    This is for extra points, that I really need in my algebra II class =).
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  2. #2
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    Quote Originally Posted by Schatzle06 View Post
    A line is represented by the equation x = 6. What is the slope of the line?

    a. 0 b. 5/6

    c. 6 d. undefined

    This is for extra points, that I really need in my algebra II class =).
    d, undefined. It is a vertical line.

    Note: a horizontal line, y = ... has slope 0.
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  3. #3
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    Well, the line x = 6 looks like a vertical line ( up and down ) ... going through the point (6, 0) on the x-axis.

    Vertical lines have an undefined slope.

    So,
    D. Undefined.
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Schatzle06 View Post
    A line is represented by the equation x = 6. What is the slope of the line?

    a. 0 b. 5/6

    c. 6 d. undefined

    This is for extra points, that I really need in my algebra II class =).
    Go back to your basic definition:
    m = \frac{y_2 - y_1}{x_2 - x_1}

    We can get two points on this line: say (6, 1) and (6, 2).

    m = \frac{2 - 1}{6 - 6} = \frac{1}{0}

    Since we can't divide by 0, this slope is undefined.

    Comment:
    You have now posted several extra credit questions. I have noticed that many of the solutions depend directly on basic definitions. If the definitions are giving you problems I would strongly recommend you review these with your teacher to make sure you understand them. Otherwise, as I think Aftershock mentioned, none of this will help you.

    -Dan
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