what are the coordinates of the point on the directed line segment from (-4,10) to (2,-10) that partitions the segment into a ratio of 1 to 3

(-5/2,5)

I hope it will be useful.

P(-2.5 , 5)

Step-by-step explanation:

point (x,y) partitions the segment into a ratio of 1 to 3 (at the 1/4 position)

x = -4 + (2 - -4)/4 = -4 + 1.5 = -2.5    (2 - -4: horizontal distance of A and B)

y = 10 - (10 - -10)/4 = 10 - 5 = 5   (10 - -10: longitudinal distance of A and B)

point(x,y): (-2.5 , 5)

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