Answer:
Option (d) is correct.
The length of the given line segment is 8.25 units.
Step-by-step explanation:
Given : A graph showing a line segment.
We have to determine the length of the given line segment.
Since, the end coordinate of the line segment is (2,2) and (-6,4)
We will calculate the distance between the end points to find the length of the line segment.
Distance can be calculated using distance formula
[tex]D=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
Here, [tex]\left(x_1,\:y_1\right)=(2,2),\:\left(x_2,\:y_2\right)=(-6,4)[/tex]
Substitute, we have,
[tex]=\sqrt{\left(-6-2\right)^2+\left(4-2\right)^2}[/tex]
Simplify, we have,
[tex]=2\sqrt{17}=8.246[/tex]
Thus, The length of the given line segment is 8.25 units.
