Point F is on line segment start overline, EG, end overline EG . Given F, G, equals, 5FG=5 and E, F, equals, 14, commaEF=14, determine the length start overline, E, G, end overline, . EG .

Let's assume that the length of line segment EG is x.

Since 5FG = 5, we can conclude that FG = 1.

The length of line segment EF is given as 14.

Therefore, the length of line segment EG is equal to FG + EF, which is 1 + 14 = 15.

So, the length of line segment EG is 15.