Question

Segment JL has endpoints J(-3, -4) and L(7, 6). What are the coordinate of point K, so that point K is on line segment JL and JK = 3/5 JL. Explain.​

Answer 1

K(3,2).

Explanation:

We want to find a point K(x,y).

JK = 3/5 JL.

This means that:

`K - J = (3(L - J))/(5)`

We use this to find both the x-coordinate and the y-coordinate of K.

x-coordinate:

x-coordinate of J: -3

x-coordinate of L: 7

`K - J = (3(L - J))/(5)`

`x - (-3) = (3(7 - (-3)))/(5)`

`x + 3 = 6`

`x = 3`

y-coordinate:

y-coordinate of J: -4

y-coordinate of L: 6

`K - J = (3(L - J))/(5)`

`y - (-4) = (3(6 - (-4)))/(5)`

`y + 4 = 6`

`y = 2`

The point is K(3,2).