Given:
The graph of a line segment.
To find:
The distance between the pair of points.
Solution:
From the given graph it is clear that the end points of the line segment are (-3,-1) and (-2,-3).
The distance between these two points is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(-2-(-3))^2+(-3-(-1))^2}[/tex]
[tex]d=\sqrt{(-2+3)^2+(-3+1)^2}[/tex]
[tex]d=\sqrt{(1)^2+(-2)^2}[/tex]
On further simplification, we get
[tex]d=\sqrt{1+4}[/tex]
[tex]d=\sqrt{5}[/tex]
[tex]d=2.236067[/tex]
[tex]d\approx 2.2[/tex]
Therefore, the distance between the pair of point is about 2.2 units.