Chapter 10 - Exponents and Radicals - 10.7 The Distance Formula, the Midpoint Formula, and Other Applications - 10.7 Exercise Set - Page 678: 51

$d=5 \text{ units} $

Using $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$ or the Distance Formula, the distance, $d$, between the given points, $ (4,5) \text{ and } (7,1) ,$ is \begin{array}{l}\require{cancel} d=\sqrt{(4-7)^2+(5-1)^2} \\\\ d=\sqrt{9+16} \\\\ d=\sqrt{25} \\\\ d=5 \text{ units} .\end{array}