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Math Help - help on analytic geometry

  1. #1
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    help on analytic geometry

    Help!!! Just this 1 problem

    find the equations of two lines through A, one parallel and the other perpendicular to the line defined by the given equation:
    30.) A(-4,0), 4x+3y = 2
    thats all for today

    thank you very much for all your helps!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by ^_^Engineer_Adam^_^ View Post
    Help!!! Just this 1 problem

    find the equations of two lines through A, one parallel and the other perpendicular to the line defined by the given equation:
    30.) A(-4,0), 4x+3y = 2
    thats all for today

    thank you very much for all your helps!
    Rewrite 4x+3y = 2 in standard form: y=-(4/3)x+2/3 so the slope of lines parallel to this all have slope -4/3, and the slope of a line perpendicular to this has slope 3/4.

    Now the equation of the parallel line is:

    <br />
y=-(4/3)x+c<br />

    now it goes through (-4,0), so 0=-(4/3)(-4)+c
    so c=-16/3, so:

    <br />
y=-(4/3)x-16/3<br />
.

    A similar procedure gives the line at right angle to this one as:

    <br />
y=(3/4)x+3<br />

    RonL
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