Points J, K, and L are collinear one, and JL: LK = J is located at (-3,5), K is located at (1,-10) and Lis located at (x, y). What are the values of x and y?

Question

asked Jan 25, 2021 38.0k views

1 Answer

Fin · Answer 1 · 2021-01-29T09:03:30+0000

9514 1404 393

Answer:

L = (x, y) = (1/5, -7)

Explanation:

The given relation tells you ...

(L -J)/(K -L) = 4/1

Cross-multiplying, we have ...

L -J = 4(K -L)

5L = 4K +J . . . . add 4L+J

L = (4K +J)/5

L = (4(1, -10) +(-3, 5))/5 = (4-3, -40+5)/5

L = (x, y) = (1/5, -7)