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Math Help - Line perpendicular to y = -2x + 11 and through (4, -2)

  1. #1
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    Line perpendicular to y = -2x + 11 and through (4, -2)

    My answer is y = 1/2x+0, but I'm not sure if my math was right


    1/2 = y - (-2)/ x-4

    1/2(x-4)=y - (-2)

    1/2x -2 = y+ 2

    1/2x+0=y

    Can anyone tell me their answers, and show me where my work was wrong? I'm pretty confident that I got it right though.
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  2. #2
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    Re: Line perpendicular to y = -2x + 11 and through (4, -2)

    Does your line have slope +1/2?
    Does your line pass through (4,-2)?

    If both answers are "yes", you are done. Feel free to be confident in your result.
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    Re: Line perpendicular to y = -2x + 11 and through (4, -2)

    Quote Originally Posted by TKHunny View Post
    Does your line have slope +1/2?
    Does your line pass through (4,-2)?

    If both answers are "yes", you are done. Feel free to be confident in your result.
    Thanks a lot! and yes it does!
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  4. #4
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    Re: Line perpendicular to y = -2x + 11 and through (4, -2)

    You may wish to check the sign on your constant term. It should be -4, not +0.

    Also, be more careful with Order of Operations. y - (-2)/x - 4 is absolutely NOT the same as [y - (-2)]/[x - 4]

    Similarly, 1/2x is NOT the same as (1/2)x.
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  5. #5
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    Re: Line perpendicular to y = -2x + 11 and through (4, -2)

    Quote Originally Posted by TKHunny View Post
    You may wish to check the sign on your constant term. It should be -4, not +0.

    Also, be more careful with Order of Operations. y - (-2)/x - 4 is absolutely NOT the same as [y - (-2)]/[x - 4]

    Similarly, 1/2x is NOT the same as (1/2)x.
    Yes I re-did it and I realized why I got it wrong. Instead of subtracting 2 from the left side I added 2. Awful slip-up.
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