Answer:
[tex]|RS|=3\sqrt{13}[/tex] units.
Step-by-step explanation:
The distance between the two given points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by:
[tex]d=\sqrt{(x_2-x-1)^2+(y_2-y_1)^2}[/tex]
We want to find the distance between R(-1, 0) and S(8, 6).
We plug in these points into the distance formula to get:
[tex]|RS|=\sqrt{(8--1)^2+(6-0)^2}[/tex]
[tex]|RS|=\sqrt{(9)^2+(6)^2}[/tex]
[tex]|RS|=\sqrt{81+36}[/tex]
[tex]|RS|=\sqrt{117}[/tex]
[tex]|RS|=3\sqrt{13}[/tex] units.
