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How to subdivide a segment in a given ratio

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Instructions and help about lesson 12 2 subdividing a segment in a given ratio answers

we're told point a is at negative one comma four and point c is at four comma negative six find the coordinates of point b on segment line segment ac such that the ratio of a b to ac is three to five so pause this video and see if you can figure that out all right now let's work through this together and to help us visualize let's plot these points so first let us plot point a which is at negative one comma four so negative one comma one two three four so that right over there is point a and then let's think about point c which is at four comma negative six so one two three four comma negative six negative one negative two negative three negative four negative five negative six just like that and so the segment ac i get my ruler tool out here segment ac is going to look like that and the ratio between the distance of a to b and a to c is three to five or another way to think about it is b is going to be three-fifths along the way from a to c now the way

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