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worty [1.4K]
2 years ago
7

Find the coordinates of point, P, which divides the line segment from A = (0, 4) to B = (6, 8) in a ratio of 2:1.

Mathematics
1 answer:
anastassius [24]2 years ago
6 0
When a point divide a line segment A (x1,y1) B (x2,y2) into a ration of a:b, the coordinates of that point is x1+[a/(a+b)](x2-x1), y1+[a/(a+b)](y2-y1)
so x=0+(2/3)(6-0)=4
y=4+(2/3)(8-4)=6&2/3 (mixed number 6 and 2 over 3)
(4, 6&2/3) is the answer. 
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