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It seems that the endpoints of the segment are (-6, 3) and (-5, -x).

(3 + x)/(-6 + 5) = 1/3

(3 + x)/-1 = 1/3 cross-multiply

9 + 3x = -1 subtract 9 to both sides

3x = -1 - 9

3x = -10 divide by 3 to both sides

x = -10/3.

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Q: What is the value of x in the line segment of 3 plus x and -6 plus 5 with a slope of one third showing work?
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