On a coordinate plane, the endpoints of line segment jk are j(−10,12) and k(8,−12). point l lies on line segment jk and divides it into two line segments such that the ratio of jk to kl is 5: 1.

what are the coordinates of point l ?
a
(4.4,−7.2)
b
(−7,8)
c
(−6.4,7.2)
d
(5,−8)

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

∵

∴

∴

∴ The x-coordinate of point L is 4.4

∵

∴

∴

∴ The y-coordinate of point L is -7.2

* The coordinates of point L are (4.4 , -7.2)

step-by-step explanation:

when the line is solid:

when the line is dashed:

this > inequality sign means:

this < inequality sign means:

this > inequality sign means:

this < inequality sign means:

about the problem:

srry i'm not done ! i'll