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what are the coordinates of the point on the directed line segment from(-7,-9)to (5,6) that partitions the segment into a ratio of 2 to 1?

Sagot :

evgeniylevi

Try this solution, note a) the suggested way is not the only one, b) the suggested solution is for segments AC:CB=2:1 only.

1) if the point A is (-7;-9), the point B is (5;6) and C is required point, then

2) the coordinate 'x' of the point C is:

[tex]X_C=X_B-\frac{X_B-X_A}{2+1}=5-4=1;[/tex]

3) the coordinate 'y' of the point C is:

[tex]Y_C=Y_B-\frac{Y_B-Y_A}{2+1}=6-5=1;[/tex]

4) the required coordinates are (1;1)

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