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Write the equation of a line in slope intercept form that is parallel to the line y= 1/3x+ 5 and passes through (-9, 5). Do not use any spaces. Slope should be a reduced improper fraction.

  • Math -

    slope is 1/3

    use the point given in y=1/3 x +b to solve for b.

    Now you have the equation

  • Math -

    Equations of a straight line :

    y = m x + b

    Where :

    m = slope

    b = the y intercept ( where the line crosses the y axis )


    Parallel lines have the same slope.

    In this case m = 1 / 3


    y = ( 1 / 3 ) x + b


    x = - 9

    y = 5


    5 = ( 1 / 3 ) ( - 9 ) + b

    5 = - 3 + b Add 3 to both sides

    5 + 3 = - 3 + b + 3

    8 = b

    b = 8


    y = m x + b


    y = ( 1 / 3 ) x + 8

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