Respuesta :

The coordinate of point P is (1, 5).

Here we have to find the coordinate of the point P, which is on the line between x(-1,2) and y(7,14) which are partitions in the ratio 1:3.

The formula of the coordinate when two points are separated in the ratio m:n

Let a and b be the coordinate of P.

a = 7m + (-1)n/ m+n

b = 14m + 2n / m+n

Now put the value m: n as 1:3

a = 7×1 +(-1)×3/ 1+3

 = 7 - 3/ 4

 = 4/4

 = 1

b = 14×1 + 2×3/ 1 +3

  = 14 + 6/ 4

  = 20/4

  = 5

Therefore the coordinate of P is (1,5).

To know more about the coordinate refer to the link given below:

https://brainly.com/question/20935031

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