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Math Help - Linear functions and lines

  1. #1
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    Linear functions and lines

    Please help with the following question.

    Abcd is a rectangle. Ab has equation x-2y+2=0 and c is the point (1,4).
    1. Find the equations of cd and bc
    2. Find the coordinates of the point b.

    Any help with this would be greatly appreciated.
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  2. #2
    Member Goku's Avatar
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    Re: Linear functions and lines

    y = 1/2 x + 1

    The line cd is parallel to the line Ab so the gradients are equaled:

    SO for line cd we have y = 1/2 x + c.. now we substitute (1,4)

    4 = 1/2(1)+c --> c= 7/2. --> y = 1/2 x + 7/2...

    For line bc the line intersects at a right angle use this property to find the equation....
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  3. #3
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    Re: Linear functions and lines

    Thank you very much I had a problem with the gradient and clearly it threw the rest of my calcs off.
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