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Find the vertical distance between point, and quation?

  1. Sep 15, 2012 #1
    1. The problem statement, all variables and given/known data

    What is the vertical distance between the point A(−2,−3) and the line 2x+5y=3.

    2. Relevant equations



    3. The attempt at a solution

    Here is what I did: I know its wrong.

    First, changed the equation into proper form:

    y = 2/5x - 3/5

    Plotted the equation....

    Then, I drew in the point (-2,-3). Then drew line from point, vertically to the line, just as a graphical representation.

    so from the line, x = -2

    So, If x = -2, then y would equal -1.4

    So, then I put this into the distance formula:

    [itex]\sqrt{}(-2 - (-2))^2 + (-1.4 - (-3))^2[/itex]

    Which gave me 1.6
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 15, 2012 #2

    LCKurtz

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    Science Advisor
    Homework Helper
    Gold Member

    Check your arithmetic right there.
     
  4. Sep 15, 2012 #3
    Oh....

    Is this correct then?

    y = -2/5x + 3/5?
     
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