Question

What is the length of the segment whose endpoints are A(4, –3) and B(10, 6)?

Answer 1

$\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) A&({{ 4}}\quad ,&{{ -3}})\quad % (c,d) B&({{ 10}}\quad ,&{{ 6}}) \end{array}\quad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ d=\sqrt{[10-4]^2+[6-(-3)]^2}\implies d=\sqrt{[10-4]^2+[6+3]^2}$