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About analytic geometry: the line segment joining the points (-2, -1) and (6, 4) is divided into two segments, one of which is three times as long as the

other. find the point of division(note: Give two possible answers.) please show your solution. thanks in advance :)

Given the full segment endpoints (-2, -1) and (6,4) (Please click image for the illustration and solution.)

After dividing the full segment into two segments where the longer segment is three times the shorter segment:

The possible division points are: A. (0, 1/4) The endpoints of the segments are: Shorter segment: (-2,-1) and (0, 1/4) Longer segment: (0, 1/4) and (6,4)

B. (4, 11/4) The endpoints of the segments are: Shorter segment: (4, 11/4) and ( 6, 4) Longer segment: ( -2, -1) and (4, 11/4)

(PLEASE CLICK IMAGE BELOW FOR SOLUTION with ILLUSTRATION)

Note: I included the solution for lengths of the segments :-)