Question

medal+fan line segment JK in the coordinate plane has endpoints with the coordinates (-4,11) and (8,-1). Graph JK and find point m so that m divides JK into two parts with lengths in a ratio of 1:3

Answer 1

I think the point is (-1 , 8).
The distance from (-4,11) to (-1.8) is 3*sqt(2)
The distance from (-1,8) to (8,-1) is 9*sqt(2)

The ratio of 3*sqt(2) to 9*sqt(2) = 1:3 or 1/3.