Analytic geometry

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What is the distance of the line x+6y-7=0 from the origin?


Please help, is my answer -7sqrt37/37 correct? If not, please help me whats the right solution

  • Analytic geometry -

    If (a,b) is any point, its distance to the line
    Ax + By + C = 0 is

    |Aa + Bb + C|/(A^2 + B^2)

    so your point is (0,0)
    distance
    = |0+0-7|/(1+36)
    = 7/√37
    which the probably rationalized .

    7/√37 * √37/√37 = 7√37/37

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