Question

What is the approximate distance between the points (-3,-4) and (-8,1) on a coordinate grid?

Answer 1

`\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{1})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√([-8-(-3)]^2+[1-(-4)]^2)\implies d=√((-8+3)^2+(1+4)^2) \\\\\\ d=√((-5)^2+5^2)\implies d=√(25+25)\implies d=√(50)\implies d\approx 7.07`