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- coor

Question

3 years ago

14

dinate of P?

2 answers:

Ainat [17] · Answer 1 · 2022-02-04T14:10:50+03:00

Ainat [17]3 years ago

7 0

Y = 2.4 and the x = -0.3

amid [387] · Answer 2 · 2022-02-04T15:18:43+03:00

amid [387]3 years ago

6 0

Answer:

2.2

Step-by-step 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