Answer: 13 units
Step-by-step explanation:
From the given graph , the coordinates of point R = (-4,-3)
The coordinates of S = (1,9)
The distance formula to calculate distance between two points (a,b) and (c,d) is given by :-
[tex]d=\sqrt{(d-b)^2+(c-a)^2}[/tex]
Now, the distance between (-4,-3) and (1,9) is given by :-
[tex]d=\sqrt{(9-(-3))^2+(1-(-4))^2}\\\\\Rightarrow\ d=\sqrt{(12)^2+(5)^2}\\\\\Rightarrow\ d=\sqrt{169}=13\text{ units}[/tex]
Hence, the length of line segment RS[tex]=13\text{ units}[/tex]
