Point j(-2,1) and point k(4,5) form line segment jk. for the point p that partions jk in the ratio 3: 7, what is the y- coordinate of p?

 The required y co-ordinate of P is 2.2.

Step-by-step explanation:  Given that the points J(-2,1) and K(4,5) form line segment JK and a point P partitions JK in the ratio 3: 7.

We are to find the y co-ordinate of P.

We know that

the co-ordinates of a point that divides the line segment with endpoints (a, b) and (c, d) are given by

For the given partition, we have

(a, b) = (-2, 1), (c, d) = (4, 5) and m : n = 3 : 7.

Therefore, the y co-ordinates of point P is

Thus, the required y co-ordinate of P is 2.2.