The coordinates of point P on the number line are 16 or 21.
In this question we find a line segment set on a number line and whose endpoints and segment ratio are known. Then, we can determine the location of the point P by using the line segment formula:
P(x) = A(x) + k · [B(x) - A(x)]
Where k is the partition ratio.
If we know that A(x) = 6, B(x) = 31 and k = 3 / 5, then the location of the point P is:
P(x) = 6 + (3 / 5) · (31 - 6)
P(x) = 6 + (3 / 5) · 25
P(x) = 6 + 15
P(x) = 21
P(x) = 6 + (2 / 5) · (31 - 6)
P(x) = 6 + (2 / 5) · 25
P(x) = 6 + 10
P(x) = 16
The coordinates of point P on the number line are 16 or 21.
To learn more on partitions of line segments: https://brainly.com/question/3148758
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