Answer:
The coordinates of point L are (4.4 , -7.2) ⇒ answer A
Step-by-step explanation:
Assume that point L is (x , y)
Point L divides the line segment JK into two line segments such that
the ratio of JK to KL is 5 : 1
The coordinates of point J are (-10 , 12)
The coordinates of point K are (8 , -12)
∵ 
∵ 
Let
= (-10 , 12) and
= (8 , -12)
and
= JL : KL
∵ JK : KL = 5 : 1
∵ JK = JL + KL
∴ 5 = JL + 1
Subtract 1 from both sides
∴ JL = 4
∴ JL : LK = 4 : 1
∴
= 4 : 1
∵ 
∴ 
∴ 
∴ <u><em>The x-coordinate of point L is 4.4</em></u>
∵ 
∴ 
∴ 
∴ <u><em>The y-coordinate of point L is -7.2</em></u>
* The coordinates of point L are (4.4 , -7.2)