The length of line segment is [tex]\sqrt{50}[/tex]
We have the following coordinates -
A = (-3, 6)
B = (4, 5)
We have to determine the length of line segment AB.
A line segment is a part of a line having two endpoints. Unlike a line, a line segment has a definite length.
According to question, we have -
A = (-3, 6)
B = (4, 5)
The formula to calculate the distance between points A [x(1), y(1)] and
B [x(2), y(2)] is -
AB = [tex]\sqrt{[(x(2)-x(1)]^{2} + [(y(2)-y(1)]^{2}[/tex]
Substituting the values, we get -
AB = [tex]\sqrt{[4-(-3)]^{2} + [5-6]^{2}} = \sqrt{49 + 1} = \sqrt{50}[/tex]
Hence, the length of line segment is [tex]\sqrt{50}[/tex]
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