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Math Help - [SOLVED] translation

  1. #1
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    [SOLVED] translation

    Hi, i have attached a graph i made. Sorry for the sloppy graph cuz it was my first time using the software, and don't mind the little box in the top right hand corner. I don't get how to get rid of it. Also the red line with the two set of points in line L

    Here's the question:
    The figure shows line L in the xy-coordinate plane. Line m (not shown) is obtained by horizontally translating each point on line L 2 units to the left. if the equation of m is (4/5)x+k. what value is k?
    Attached Thumbnails Attached Thumbnails [SOLVED] translation-graph.bmp  
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  2. #2
    Member courteous's Avatar
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    Quote Originally Posted by fabxx View Post
    Here's the question:
    The figure shows line L in the xy-coordinate plane. Line m (not shown) is obtained by horizontally translating each point on line L 2 units to the left. if the equation of m is (4/5)x+k. what value is k?
    Value of m line is m=\frac{4}{5}*(x+2) + k'. So the k' value (let k be of L line) is k'=k+\frac{4}{5}*2. Just cue visually moving the L line towards left.
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  3. #3
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    answer

    heyy, the correct answer is 28/5 or 5.6 I don't know how they got this answer. please help
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  4. #4
    Member courteous's Avatar
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    Quote Originally Posted by fabxx View Post
    heyy, the correct answer is 28/5 or 5.6 I don't know how they got this answer. please help
    Look at the point where the L line crosses the y-axis (it's a 4, right?). This is your k.
    Now, if you move your L line to left (just horizontally) you can imagine that the point (where it crosses the axis) goes "up", right? Moving it for 2 units to left gives you new crossing point k' = k + 2*\frac{4}{5} = 4 + 2*\frac{4}{5} =  \frac{20}{5}+2*\frac{4}{5}=\frac{20}{5}+\frac{8}{5  }=\frac{28}{5}
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