Consider that the distance between two points,
[tex]d=\sqrt[]{(y^{}_2-y^{}_1)^2+(x^{}_2-x^{}_1)^2}[/tex]
Given that the points are (1,1) and (3,7).
Then, the corresponding distance is calculated as,
[tex]\begin{gathered} d=\sqrt[]{(7-1)^2+(3-1)^2} \\ d=\sqrt[]{6^2+2^2} \\ d=\sqrt[]{36+4} \\ d=2\sqrt[]{10} \\ d\approx6.32 \end{gathered}[/tex]
Thus, the distance between the given points is 6.32 units approximately.
