Question

Find the coordinates of the point which divides the line segment joining (2,4) and (6,8) in the ratio 1:3 internally and externally

Answer 1

so it is 1/4 the way, right?

x'=2+(6-2)/4=3
y'=4+(8-4)/4=5

Answer 2

LM has the endpoints L at –5 and M at 9. To find the point x so that x divides the directed line segment LM in a 2:3 ratio, use the formula x = (x2 – x1) + x1.
x = (9 – (–5)) + (–5)