Answer:
The length of the line segment is 10 units.
Step-by-step explanation:
Let us call the given two points: (x₁, y₁) = (2, -3) and (x₂, y₂) = (8, 5).
The distance between two points, d = [tex]$ \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} } $[/tex]
Here, [tex]$ (x_1, y_1) = (2, -3) $[/tex] and
[tex]$ (x_2, y_2) = (8, 5) $[/tex]
Therefore, distance, d = [tex]$ \sqrt{(8 - 2)^2 + (5 - (-3))^2 $[/tex]
[tex]$ = \sqrt{6^2 + 8^2} $[/tex]
[tex]$ = \sqrt{36 + 64} $[/tex]
[tex]$ = \sqrt{100} $[/tex]
= 10 units.
Hence, the answer.
