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

Answer:

K(3,2).

Step-by-step explanation:

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

JK = 3/5 JL.

This means that:

$K - J = \frac{3(L - J)}{5}$

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

$K - J = \frac{3(L - J)}{5}$

$x - (-3) = \frac{3(7 - (-3))}{5}$

$x + 3 = 6$

$x = 3$

y-coordinate:

y-coordinate of J: -4

y-coordinate of L: 6

$K - J = \frac{3(L - J)}{5}$

$y - (-4) = \frac{3(6 - (-4))}{5}$

$y + 4 = 6$

$y = 2$

The point is K(3,2).