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Math Help - Lines in a Plane 7

  1. #1
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    Lines in a Plane 7

    If they exist, find the x-,y-,and z-intercepts of the line x=24+7t, y=4+t, z=-20-5t.

    So this question seems very straight forward, but for some reason I cannot come up with the correct answer as the back of the book says. Their answer is... xintercept is -4.


    This is my work:

    Sym eqtn:

    (x-24)/7 = (y-4)/1 = (z+20)/-5
    Find x intercept, let y and z =0
    (x-24)/7 = -4=-4
    x-24=-28=-28
    x=-28+24=-28
    x=-4=-28
    x=24=0
    x=24
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  2. #2
    MHF Contributor Calculus26's Avatar
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    I believe the eqns should be

    x= 24+7t y= 4 + t z = 20 + 5t

    then y= 0 = z for t = -4

    then x(-4) = -4 there are no z or y intercepts

    you don't need to use the symmetric equations
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