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*BRAINIEST & 20 POINTS*

what are the coordinates of the point on the directed line segment from (-8,8) to (7,-7) that partitions the segment into a ratio of 1 to 4?

BRAINIEST amp 20 POINTS what are the coordinates of the point on the directed line segment from 88 to 77 that partitions the segment into a ratio of 1 to 4 class=

Respuesta :

Answer:

The coordinates are (-5,5)

Step-by-step explanation:

We use the internal division formula here

(x,y) = (nx1 + mx2)/m+ n , (ny1 + my2)/(m + n)

where m = 1

n = 4

(x1,y1) = (-8,8)

(x2,y2) = (7,-7)

Substituting these values, we have

(x,y) = (4(-8) + 1(7))/5 , (4(8)+ 1(-7)/5

(x,y) = (-25/5, 25/5)

(x,y) = (-5,5)

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