Help!!! Line segment EF in the xy-coordinate plane has endpoints with coordinates (-4,9) and (6,4). What are two possible locations for point G so that G divides EF into two parts with lengths in a ratio of 1:4?

Answer 1

Just like all the related questions below,

The x,y distances from E to F are (10,-5)

If G is 1/5 of the way from E to F, add 1/5 of the difference to E.

G = (-4,9)+(2,-1) = (-2,8)

If G is at the other end, subtract those values from F.