The formula to calculate the distance between two points is given by
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]In this problem, we have the coordinates
(4, -1) and (9, 7)
substitute in the formula
[tex]\begin{gathered} d=\sqrt{(7+1)^2+(9-4)^2} \\ d=\sqrt{8^2+5^2} \\ d=\sqrt{89} \\ d=9.43 \end{gathered}[/tex]