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Math Help - applied mathematics

  1. #1
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    applied mathematics

    find the equation of Line L in standard form L is parallel to Y=1/3X. Both lines are diagonal to each other. The other points are (2,5)
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  2. #2
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    Quote Originally Posted by grettadoty View Post
    find the equation of Line L in standard form L is parallel to Y=1/3X. Both lines are diagonal to each other. The other points are (2,5)
    Hi grettadoty,

    Find the equation of line L in standard form.

    I added the period to make it a sentence.


    L is parallel to y = 1/3 x.

    I understand this part.


    Both lines are diagonal to each other

    I don't know what that means.


    The other points are (2, 5)

    This is just one point.




    I'm going to assume you want to find the equation of line L which passes through point (2, 5) and is parallel to y = 1/3 x. Am I close?

    If so,

    The slope of y = 1/3 x is 1/3. So this means that the slope of any line parallel to it will also be 1/3.

    Now use the point-slope form of the general equation to start with, using m = 1/3 and (x1, y1) = (2, 5)

    y-y_1=m(x-x_1)

    y-5=\frac{1}{3}(x-2)

    3y-15=x-2

    x-3y=-13 Standard Form
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  3. #3
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    thanks

    Thanks for your reply
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  4. #4
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    Quote Originally Posted by grettadoty View Post
    find the equation of Line L in standard form L is parallel to Y=1/3X. Both lines are diagonal to each other. The other points are (2,5)

    I read 'diagonal' to mean that line L is normal to line Y.

    therefore given

    y-y_1=m(x-x_1)

    where

    m=\frac{-1}{\frac{1}{3}}=-3

    then using (2,5)

    y-5=-3(x-2)

    making

    L=-3x-11
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