What is the parrallel equation to y=5x+11 ?

Is an equation parrallel If it has a negative gradient for instance : y=-5x + 11 is parrallel to y=5x+11

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  • David
    Lv 7
    1 month ago
    Favorite Answer

    The given equations are not parallel because their slopes are -5 and 5.

    A parallel equation to y = 5x+11 for example could be y = 5x+13 whereas their slopes are the same but with different y intercepts.

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  • 1 month ago

    The family of straight lines // to y=5x+11 is

    y=5x+b, where b belongs to R.

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  • Philip
    Lv 6
    1 month ago

    The concept of a ''parallel equation'' does not exist in mathematics.

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  • 1 month ago

    NO For parallel lines the gradient is the same value, only the constant changes.

    So a parallel line is y = 5x + 3

    Agreed '5x' is a negative gradient, but it is NOT perpendicular.

    • Pinkgreen
      Lv 7
      1 month agoReport

      -5 is a negative gradient, not 5x.

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  • 1 month ago

    No. Any equation parallel to y = 5x + 11

    will have the SAME gradient, for example,

    y = 5x - 8, or

    3y - 15x = 4 2/3.

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  • 1 month ago

    equations are not parallel, lines are. 

    two lines are parallel if they have the same slope

    y = +5x+11     slope = +5

    y = –5x+11      slope = –5

    they are not parallel

    a line parallel to 

    y = +5x+11

    is 

    y = +5x+k

    where k can have any value

    • Pinkgreen
      Lv 7
      1 month agoReport

      It was properer to say: " k  be any real value " .

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  • 1 month ago

    A line parallel to y = 5x + 11 will have the same gradient.

    i.e. y = 5x + c....where c can be any value

    :)>

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  • Pope
    Lv 7
    1 month ago

    No. In the x-y plane, two lines are parallel only if they have the same gradient or if they are both vertical. In this particular case the lines meet at (0, 11) and at no other point.

    • Pinkgreen
      Lv 7
      1 month agoReport

      It was clearer to say: y=-5x+11 & y=5x+11 met at (0, 11).

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