Answer:
≈ 10.63
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = P(- 1, - 1) and (x₂, y₂ ) = L(6, - 9)
d = [tex]\sqrt{(6-(-1))^2+(-9-(-1))^2}[/tex]
= [tex]\sqrt{(6+1)^2+(-9+1)^2}[/tex]
= [tex]\sqrt{7^2+(-8)^2}[/tex]
= [tex]\sqrt{49+64}[/tex]
= [tex]\sqrt{113}[/tex] ≈ 10.63 ( to the nearest hundredth )
