The length of the segment with endpoints at (2, 7) and (8, -1) is 10.
It should be noted that in Mathematics, the segment simply means a part of a line that is bounded by two distinct end points and it also contains every point on the line.
An example of a line segment is a ray that is represented by a point at one end and an arrow at another end.
From the information, we are told to find the length of the segment with endpoints at (2, 7) and (8, -1).
The formula to use is (X2 - X1)² + (Y2 - Y1)²
This will be:
Let (2, 7) = (X1, X2) while (8, -1) = (X2, Y2).
= ✓(8 - 2)² + ✓(-1 - 7)²
= ✓6² + ✓(-8)²
= ✓(36 + 64)
= ✓100
= 10
In conclusion, the length is 10.
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