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The points A(-1,4) and B(2,-3) are in rectangular coordinate system.  Piont C is on AB with AC:CB = 3:4.  Find the coordinates of C.

 Dec 8, 2019
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The oint C divides the line in to two segments   one is 3/7   the other is 4/7

  we want to find the point that is 3/7 from point A

 

The distance between the x coordinates   from -1 to 2 is 3 units     3 units x 3/7 = 9/7   add this to -1

-1 + 9/7 = 2/7   x coordinate

 

The distance between y coordinates    from 4 to -3   is -7 units     -7 x 3/7 = -3  add this to 4

4 - 3 =  1   y coordinate

 

 

Here is a graph:

https://www.desmos.com/calculator/zqpuoy5cik

 Dec 8, 2019

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