Question

Point E is located at (−1, 6) and point F is located at (3, 9)

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What are the coordinates of the point that partitions the directed line segment EF¯¯¯¯¯ in a 3:2 ratio?



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Answer 1

(1.4,7.8)

Explanation:

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Answer 2

The required coordinates are
`((7)/(5),(39)/(5))`.

Explanation:

Let the new point be P.

If a point divide a line in m:n, then the coordinates of point are

`((mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n))`

If is given that Point E is located at (−1, 6) and point F is located at (3, 9). Point P divides the line in 3:2. The coordinates of P are

`P=((3(3)+2(-1))/(3+2),(3(9)+2(6))/(3+2))`

`P=((7)/(5),(39)/(5))`

Therefore the required coordinates are
`((7)/(5),(39)/(5))`.