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Math Help - Write an equation of the line

  1. #1
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    Write an equation of the line

    I have been working on these problems forever and keep getting stuck toward the end where I am to add to the fraction . Can someone please help me solve with the proper steps (in y=mx+b form)?
    Write an equation of the line containing the given pointand parallel to the given line:
    (5, -7); 2x - 9y = 7

    The equation of the line is y= ???
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  2. #2
    A Plied Mathematician
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    Why don't you show the work you've got so far, and we can help you get unstuck?
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  3. #3
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    2x - 9y = 7 is equivalent to 9y = 2x - 7, i.e. y = 2x/9 - 7/9. Since the line we need to determine is parallel to this equation, the slope must be 2/9.
    Use y - y_1 = m(x - x_1), where m is the slope and (x_1, y_1) is the point contained in the line.
    y - -7 = 2/9 (x - 5) = 2x/9 - 10/9, hence y + 7 = 2x/9 - 10/9. Therefore y = 2x/9 - 10/9 - 7 = 2x/9 - 73/9.
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  4. #4
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    That's correct
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  5. #5
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    Quote Originally Posted by jgv115 View Post
    That's correct
    Concur.
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