Question

Point J (-2,1) and point K (4,5) form line segment JK. For the point P that partitions JK in the ration 3:7, what is the y- coordinate of P?

Answer 1

y = 2.4 and the x = -0.3

Answer 2

2.2

Explanation:

If point P (Xp, Yp) divides a line segment from J (Xj, Yj) to K (Xk, Yk) in the ratio a:b, then the y-coordinate of P is

Yp = Yj + a/(a+b) * (Yk - Yj)

Here Yj = 1, Yk = 5, a = 3 and b = 7. Replacing

Yp = 1 + 3/(3+7) * (5 - 1)

Yp = 2.2