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Math Help - Pre-Calc Line Problems.

  1. #1
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    Pre-Calc Line Problems.

    Ok, I have two questions I need help with....Here they are

    First.

    Write an equation of a line through (3,5) perpendicular to y=4.

    Second.

    f(x) = x^2 ; g(x) = 6x - 8 ; find all real numbers for which f(x) = g(x).

    Any help would be greatly appreciated!
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  2. #2
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    Quote Originally Posted by ClearSights View Post
    Ok, I have two questions I need help with....Here they are

    First.

    Write an equation of a line through (3,5) perpendicular to y=4.

    Second.

    f(x) = x^2 ; g(x) = 6x - 8 ; find all real numbers for which f(x) = g(x).

    Any help would be greatly appreciated!
    to #1:

    The line must be a parallel to the y-axis. Thus x = 3


    to #2:

    If f(x) = g(x) then x^2=6x-8~\implies~x^2-6x+8=0~\implies~(x-2)(x-4)=0

    Therefore x = 2 or x = 4
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