Question

given line segment jl with j(8 -8) and l(-16 -2) find the coordinates of K if K divides line segment JL two-thirds of the way from J to L

Answer 1

• (-8, -4)

Explanation:

Given

• Line segment JL with J(8, -8) and L(-16, -2)

To find

• Coordinates of K if K divides JL two-thirds from J

Solution

• JK = 2/3JL

Coordinates of K

• x = 8 + 2/3(-16 - 8) = 8 + 2/3(-24) = 8 - 16 = - 8
• y = -8 + 2/3(-2 - (-8)) = -8 + 2/3(6) = -8 + 4 = - 4
• K = (-8, -4)