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Math Help - Determine the coordinates of the points.

  1. #1
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    Determine the coordinates of the points.

    Determine the coordinates of the points three-forths of the way from a(-9,3) and (-1,-7).

    What i did so far was solve the change in x and y between the given points by 4

    change in x=-1+9/4 =2 change in y=-7-3/4 = -5/2

    so then I got (-9,3),(-7,1/2),(-5,-2),(-3,-9/2),(-1,-7)

    Im not sure which one would be "three-forth". Have i dont this question right? and which one would be three-forth?

    Thank you for the help.
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  2. #2
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    Quote Originally Posted by missionmom View Post
    Determine the coordinates of the points three-forths of the way from a(-9,3) and (-1,-7).

    What i did so far was solve the change in x and y between the given points by 4

    change in x=-1+9/4 =2 change in y=-7-3/4 = -5/2

    so then I got (-9,3),(-7,1/2),(-5,-2),(-3,-9/2),(-1,-7)

    Im not sure which one would be "three-forth". Have i dont this question right? and which one would be three-forth?

    Thank you for the help.
    You are looking for the coordinates of a point on the line PQ with P(-9,3) and Q(-1,-7) whose distance from P (or Q) is \frac34 of the whole length PQ.

    All your calculations are OK. But:

    If the line is determined by P and Q then (-5,-2) is the midpoint.
    If the line is determined by P and Q then the distance of (-3,-9/2) to P is \frac34 of the total length.

    If the line is determined by Q and P then the distance of (-7, 1/2) to Q is \frac34 of the total length.
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