Given:
The two points on the graph are R(-2,-4) and S(-8,-6).
To find:
The length of RS.
Solution:
Distance formula: The distance between two points is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between R(-2,-4) and S(-8,-6) is
[tex]d=\sqrt{(-8-(-2))^2+(-6-(-4))^2}[/tex]
[tex]d=\sqrt{(-8+2)^2+(-6+4)^2}[/tex]
[tex]d=\sqrt{(-6)^2+(-2)^2}[/tex]
[tex]d=\sqrt{36+4}[/tex]
On further simplification, we get
[tex]d=\sqrt{40}[/tex]
[tex]d=6.32455532[/tex]
[tex]d\approx 6.3[/tex]
Therefore, the length of AB is about 6.3 units. So, the correct option is C.
