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Math

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. Give the equation of the line that passes through point (5, 1) and is parallel to the line y = 3x – 1. Please help, I am so confused.

  • Math -

    The line passing through (x1,y1) and parallel to y=mx+b
    is (y-y1)=m(x-x1)
    Substitute (5,1) for (x1,y1) and y=3x-1 for y=mx+b
    gives
    y-1=3(x-5)
    Rerranging
    y=3x-14
    Check
    1=3x-14
    1=3(5)-14
    1=1 OK

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