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Math Help - Equation of the line that goes through the point and is parallel

  1. #1
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    Equation of the line that goes through the point and is parallel

    I just started this an the book does not explain it well. can you give me the basics for solving something like this:

    Find the equation of the line that goes through the point (-1,2) and is parallel to the line -x - 3y +1 = 0

    Honestly I have no idea how to proceed =\
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  2. #2
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    Quote Originally Posted by mrnemo View Post
    I just started this an the book does not explain it well. can you give me the basics for solving something like this:

    Find the equation of the line that goes through the point (-1,2) and is parallel to the line -x - 3y +1 = 0

    Honestly I have no idea how to proceed =\
    1. If the 2 lines are parallel then they have equal slopes:

    -x+3y+1=0~\implies~y = \frac13 x-\frac13

    That means the new line must have the slope m = \frac13

    2. The equation

    y-y_1 = m(x-x_1)

    describes a line passing through the point P(x_1, y_1) with the slope m.

    3. I'll leave the rest for you.
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  3. #3
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    Thank you. I think I got it.
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