Question

On a coordinate plane, the endpoints of line segment JL are

J(-6,-4) and L(6,8). Point K lies on line segment JL and divides it into two
line segments such that the ratio of JK to KL is 5:1. What are the
coordinates of point K?*

Answer 1

Answer: (4,6)

Explanation:

We are splitting the line segment into 6 parts, so we can start by finding the displacement in the x and y coordinates.

The change in x is 12, and the change in y is 12.

This means that for each of the 6 parts we are splitting the segment into, the value of x will change by 2, and so will y.

This means that to find K, we can subtract one of these displacements from point L.

This means that K has coordinates (6-2, 8-2)=(4,6)