Question

JK has endpoints (-2, 10) and K(10, -14). Point L divides JK into two parts with lengths in a

ratio of 5:1.
What are the two possible locations of L?
(5, 6)
(2, -4)
(8, -10)
(4, -2)
(2, 1)
(0,6)

Answer 1

• (8, - 10) or (0, 6)

Explanation:

There are two options as below.

1. JL/JK = 5 : 1

Find the coordinates of L:

• x = -2 + 5/6(10 - (-2)) = -2 + 10 = 8
• y = 10 + 5/6(-14 - 10) = 10 - 20 = - 10

The point is L(8, - 10)

2. JL/JK = 1 : 5

Find the coordinates of L:

• x = -2 + 1/6(10 - (-2)) = -2 + 2 = 0
• y = 10 + 1/6(-14 - 10) = 10 - 4 = 6

The point is L(0, 6)