The measure of the segment DF is 2 2/3
Segment Addition postulate
The segment addition postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
A line is a distance between two points. From the given line;
DF = F - D
Given the following
F = -1 1/3
D = -4
Substitute
DF = -1 1/3 - (-4)
DF = 4 - 4/3
DF = 8/3
DF =2 2/3
Hence the measure of the segment DF is 2 2/3
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