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19 May, 12:23

Find the equation of the line that is parallel to the graph of 2x-7y=8 and passes through (-1,-1)

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  1. 19 May, 14:52
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    Solve for y

    -7y = - 2x + 8

    y = (2/7) x - 8/7

    A parallel line has the same slope as the given line. The slope of the given line is (2/7)

    y = (2/7) x + b Now we have to find b using (-1,-1). When x = - 1 so does y

    -1 = (2/7) * (-1) + b

    -1 + 2/7 = b

    b = - 5/7

    The line is

    y = (2/7) x - 5/7
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