Answer:
8 units
Step-by-step explanation:
Here we are given with two coordinates and asked to determine the distance between them.
Here we are going to use the distance formula, which is given as under
[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Where
[tex] (x_1,y_1) = (-1,-11) [/tex]
[tex] (x_2,y_2) = (-1,-3) [/tex]
Replacing these values in the distance formula
[tex]D =\sqrt{(-1-(-1))^2+(-11-(-3)^2}[/tex]
[tex]D =\sqrt{(-1+1)^2+(-11+3)^2}[/tex]
[tex]D =\sqrt{(0)^2+(-8)^2}[/tex]
[tex]D =\sqrt{0+64}[/tex]
[tex]D =\sqrt{64}[/tex]
[tex]D= 8 [/tex]
Hence the Distance is 8 units