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Math Help - write an equation

  1. #1
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    write an equation

    a line parallel to 3x +2y - 4=0 and passing through (2;3)

    Thank you very much

    PS Still confused. Two lines are perpendicular if the product of their slope -1. Please detail.
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  2. #2
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    Quote Originally Posted by ecdino2 View Post
    a line parallel to 3x +2y - 4=0 and passing through (2;3)

    Thank you very much

    PS Still confused. Two lines are perpendicular if the product of their slope -1. Please detail.
    re-write
    3x+2y=4

    any line parallel will be of the form:
    3x+2y=z,\ \forall z\in\mathbb{R}
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  3. #3
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by ecdino2 View Post
    a line parallel to 3x +2y - 4=0 and passing through (2;3)

    Thank you very much

    PS Still confused. Two lines are perpendicular if the product of their slope -1. Please detail.

    Two lines are perpendicular if the product of their slopes is -1

    and

    Two lines are parallel if their slopes are equal

    These should be stated in your book or should be taught by your instructor.

    and the equation of a line passing through a point (x_1, y_1) is given by:

    y-y_1= m(x-x_1) .............................(I)

    Now use this above formula to find the equation of the line passing through (2,3).

    ------------------------------------------------------------------------------------

    for the line 3x +2y - 4=0., find the slope of this line by re-writing the equation in the form of y = mx+b; where m is the slope.

    so you have : 3x +2y - 4=0 \implies 2y = -3x+4 \implies y = \frac{-3}{2}x + \frac{4}{3}

    so the slope of this line is \frac{-3}{2}. since the two lines are parallel, the slope of the other line should also be \frac{-3}{2}

    so you have the point(2,3) and the slope m = -3/2. plug these in equation (I) to find the equation of the line.

    This question is similar to the one you had posted before
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  4. #4
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    write an equation

    of a line parallel to 3x +3y-4=0 passing through the point(2,3)
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  5. #5
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by lorica2000 View Post
    of a line parallel to 3x +3y-4=0 passing through the point(2,3)
    refer to the steps given in Post#3 in this thread!

    Show your work if you are stuck.
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