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
#SPJ4