algebra

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Could you please help me??
point-slope form linear equation
y-3 = 3(x+1)
what is the equation in standard form of a perpendicular line that passes through (5,1). i think you take 1/3 as slope, reciprocal, I am confused about how to proceed. I know you put variables on one side and constants on other side in standard form.

what is the x-intercept of the perpendicular line?
thanks

  • algebra -

    I assume the line is perpendicular to
    the given line.

    y-3 = 3(x+1).
    y-3 = 3x+3,
    -3x+y = 6,
    3x-y = -6.

    m1 = -A/B = -3/-1 = 3.

    m2 = -1/3 = Negative reciprocal.
    P(5,1).
    y = mx + b,
    y = (-1/3)*5 + b = 1,
    b = 1 + 5/3 = 2 2/3 = 8/3.
    y = (-1/3)x+8/3,
    Convert to STD form:
    x/3 + y = 8/3,
    X + 3Y = 8.

  • algebra -

    ADDITION: Let Y = 0 to find X-int.
    X + 3Y = 8,
    X + 3*0 = 8,
    X = 8 = x-int.

  • algebra -

    thank you so much for your help Henry, I really appreciate it. Ann

    I understand now where I went wrong. first mistake i made was using positive 1/3 and then it was downhill from there.

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