Question

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?

Answer 1

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:

$X_C=X_B-\frac{X_B-X_A}{2+1}=5-4=1;$

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

$Y_C=Y_B-\frac{Y_B-Y_A}{2+1}=6-5=1;$

4) the required coordinates are (1;1)