Question

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

Answer 1

Answer:

• (8, - 10) or (0, 6)

Step-by-step 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)

Answer 2

Answer:

(8, - 10) or (0, 6)

Step-by-step 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)