Question

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?

Answer 1

I need a picture of it can’t just make it in my mind

Answer 2

Answer: 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

`\left((mc+na)/(m+n),(md+nb)/(m+n)\right).`

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

`(md+nb)/(m+n)=(3*5+7*1)/(3+7)=(22)/(10)=2.2.`

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