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Math Help - I have a question about a problem in the first chapter of precalc?

  1. #1
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    I have a question about a problem in the first chapter of precalc?

    Here is the question which I am trying to solve:
    Triangle ABC has vertices at A (-1,4) B (8,2) C (11,-4)
    1.Find the slope of side AC (I think it is -2/3)
    2.Find the slope of the altitude from B to side AC
    3.Find the equation in slope intercept form of the altitude from B to side AC

    Any help would be appreciated. Thank You!
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  2. #2
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    Re: I have a question about a problem in the first chapter of precalc?

    1. correct

    2. hint: the altitude from B to AC is perpendicular to AC ... what do you remember about slopes of lines that are perpendicular?

    3. hint: point-slope form of a linear equation
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  3. #3
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    Re: I have a question about a problem in the first chapter of precalc?

    Ok so is #2 then 3/2 since it is the opposite reciprocal? Is #3 then y=3/2x-10/3? If someone could now at this point just give me the answer and how they got it would be appreciated.
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  4. #4
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    Re: I have a question about a problem in the first chapter of precalc?

    10/3 for a y-intercept ?

    the altitude has a slope of 3/2, and it passes thru point B (8,2).

    point-slope form ...

    y - 2 = \frac{3}{2}(x - 8)
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