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Find a point P on the directed segment from S(-2,-5) to T(5, -3) that partitions the segment in the ratio 4 to 3.

 Jan 15, 2020
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If the ratio is 4:3, there are 7 parts.

 

The x-distance from (-2,-5) to (5,-3)  is  5 - -2  =  7     --->     (1/7) x 7  =  1     --->     move 4 x 1 spaces to the right of -2, you end at 2

 

The y-distance from (-2,-5) to (5,-3)  is  -3 - -5  =  2    --->     (1/7) x 2  =  2/7  --->     move 4 x (2/7)  space up from -5, you end at -3 6/7

 

The point is (2, -3 6/7)

 Jan 15, 2020

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