What are the coordinates of the point on the directed line segment from ( − 10 , 9 ) (−10,9) to ( 8 , − 9 ) (8,−9) that partitions the segment into a ratio of 1 to 2?

(-4,3) is the point that divides the line segment in 1:2

Step-by-step explanation:

Given line segment whose coordinates are (-10,9) and (8,-9)  that partitioned the line segment in ratio 1:2 . we have to find out the coordinates of points that divides the line segment in 1:2

By internal section formula, coordinates of point C which divides the line segment in m:n will be

Here,  

∴ Coordinates of point C are

⇒

Hence, (-4,3) is the point that divides the line segment in 1:2

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