[tex]\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}[/tex]
