Question

Find the distance between the two points on the graph.

Answer 1

let's take a peek at the graph, it has the points of (-5 , 3) and (-2 , -3), so then

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-2-(-5)]^2+[-3-3]^2}\implies d=\sqrt{(-2+5)^2+(-3-3)^2} \\\\\\ d=\sqrt{3^2+(-6)^2}\implies d=\sqrt{45}\implies d\approx 6.71$