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March 29, 2017

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Write an equation of the line containing the given point and perpendicular to the given line. express your answer in the fory y=mx+b.

(8,9); 7x+y=2
the equation of the line is y=?

  • algebra - ,

    given line 7x+y=2 or
    y = -7x + 2
    the slope of the given line is -7 so the slope of the new line is +1/7

    then y = (1/7)x + b
    plug in the point
    9 = (1/7)(8) + b
    63 = 8 + 7b
    b = 55/7

    so y = (1/7)x + 55/7

    check:
    Ls = 9
    Rs = (1/7)(8) + 55/7 = 63/7 = 9 , Yeah!

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