Answer:
[tex]d=2\sqrt{34}[/tex] units.
Step-by-step explanation:
Distance formula:
If the end points of a line segments are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then length of the line segment is
[tex]d=\sqrt{x_2-x_1)^2+(y_2-y_1)^2[/tex]
From the given graph it is clear that the end points of the given line segments are (-1,8) and (5,-2). So, the distance of the line segment is
[tex]d=\sqrt{(5-(-1))^2+(-2-8)^2}[/tex]
[tex]d=\sqrt{(5+1)^2+(-10)^2}[/tex]
On further simplification we get
[tex]d=\sqrt{36+100}[/tex]
[tex]d=\sqrt{136}[/tex]
[tex]d=2\sqrt{34}[/tex]
Therefore, the distance of the Line segment is [tex]2\sqrt{34}[/tex] units.
