Given the points:
[tex]\begin{gathered} A(7,3) \\ B(5,-1) \end{gathered}[/tex]You can use the formula for calculating the distance between two points:
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Where the points are:
[tex]\begin{gathered} (x_1,y_1)_{} \\ (x_2,y_2) \end{gathered}[/tex]In this case, you can set up that:
[tex]\begin{gathered} x_2=x_B=5 \\ x_1=_{}x_A=7 \\ y_2=y_B=-1 \\ y_1=x_A=3_{} \end{gathered}[/tex]Then, substituting values into the formula and evaluating, you get:
[tex]d_{AB}=\sqrt[]{(5-7)^2+(-1-3)^2}=\sqrt[]{(-2)^2+(-4)^2}=\sqrt[]{4+16}=\sqrt[]{20}[/tex]Therefore, the answer is: Option 4.
