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12 April, 05:44

Perpendicular line for 7 x + 5 y equals - 1

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  1. 12 April, 05:58
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    7x + 5y = - 1

    get: y = mx + c

    firstly, subtract 7x from both sides:

    5y = - 7x - 1

    divide both sides by 5:

    y = (-7x - 1) / 5:

    y = - 7x/5 - 1/5

    therefore the slope, m = - 7/5 in the formula y = mx + c

    perpendicular test m1. m2 = - 1

    m1 = - 7/5, substitute in formula:

    (-7/5) x m2 = - 1

    m2 = - 1 / (-7/5) which equals [ invert and multiply] - 1 x - 5/7 = 5/7

    perpendicular slope m2 = 5/7

    new line y=mx + c is:

    y = 5/7 x - 1/5
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