The formula for the distance between two points
[tex]\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \end{gathered}[/tex]Applying to points
[tex]\begin{gathered} d=\sqrt[]{(5-(-3))^2+(1-7)^2} \\ d=\sqrt[]{(8^2)+(-6)^2} \\ d=\sqrt[]{64+36} \\ d=\sqrt[]{100} \\ d=10 \end{gathered}[/tex]