Question

Find the distance between the points give. (-3,-4) and (0,0)

Answer 1

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{0})\qquad \qquad % distance value d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[0-(-3)]^2+[0-(-4)]^2}\implies d=\sqrt{(0+3)^2+(0+4)^2} \\\\\\ d=\sqrt{3^2+4^2}\implies d=\sqrt{9+16}\implies d=\sqrt{25}\implies d=5$