[tex]\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 522}}\quad ,&{{ 1322}})\quad
% (c,d)
&({{ 9000}}\quad ,&{{ -1337}})
\end{array}
\\\\\\
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}\\\\
-------------------------------\\\\
d=\sqrt{(9000-522)^2+(-1337-1322)^2}\\\\\\ d\sqrt{8478^2+(-2659)^2}
\\\\\\
d=\sqrt{71876484+7070281}\implies d=\sqrt{78946765}
\\\\\\
d\approx 8885.199209922\implies d\approx 8885.199[/tex]
