Answer:
[tex]BA=\sqrt{13}[/tex]
Step-by-step explanation:
We are given two point B(-3,-1) and A(0,1)
We need to find distance BA
Using distance formula of two coordinate
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Where,
[tex](x_1,y_1)\rightarrow (-3,-1)[/tex]
[tex](x_2,y_2)\rightarrow (0,1)[/tex]
Now we substitute points into formula and we get BA
[tex]BA=\sqrt{(0-(-3))^2+(1-(-1))^2}[/tex]
[tex]BA=\sqrt{(0+3)^2+(1+1)^2}[/tex]
[tex]BA=\sqrt{3^2+2^2}[/tex]
[tex]BA=\sqrt{9+4}[/tex]
[tex]BA=\sqrt{13}[/tex]
Thus, Distance BA would be [tex]\sqrt{13}[/tex]