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Math Help - Point Slope Form help

  1. #1
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    Point Slope Form help

    I am having an issue understanding this question, "Find and equation of the line with the given point & slope
    1. ( 3x, 2y) m = 2
    y= mx + b

    2y = 2 (3x) + B
    Then
    2y = 6x + b
    Then
    Divide 2y by 2, then you would have 6/2 x + b
    y = 3x + b

    I cant figure out if thats the answer or what.

    I have the same situation with this problem

    (3r , 3s) m = 1
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  2. #2
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    You can say \displaystyle b = 2y-6x

    so in \displaystyle y = mx+b \implies y= 2x+(2y-6x) finish from here.
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  3. #3
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    point slope formula

    Hello rush115etc,

    the point slope formula y-2 / x-3 = 2

    y-2 = 2(x-3) y -2=2x -6 y=2x-4


    bjh
    Last edited by bjhopper; February 21st 2011 at 02:42 PM. Reason: remove unwanted letter
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  4. #4
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    Quote Originally Posted by Rush21125150 View Post
    I am having an issue understanding this question, "Find and equation of the line with the given point & slope
    1. ( 3x, 2y) m = 2
    Did the problem really say that? (3x, 2y) is NOT a point. (3, 2) is a point.
    2= 2(3)+ b
    b= 2- 6= -4,
    y= 2x- 4 has slope 2 and passes through the point (3, 2).

    y= mx + b

    2y = 2 (3x) + B
    Then
    2y = 6x + b
    Then
    Divide 2y by 2, then you would have 6/2 x + b
    y = 3x + b

    I cant figure out if thats the answer or what.

    I have the same situation with this problem

    (3r , 3s) m = 1
    I don't like that notation! I think that is just telling you to use (r, s) rather than (x,y) as your variables. That is, s= mr+ B with r= 3 and s= 3 rather than y= mx+ b with x= 3r and y= 3s. You are looking for an equation of the form s= (1)r+ b that satisfies 3= 3+ b. Of course that gives b= 0 so s= r is the equation.
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