Question 88638
Start with the given distance formula

{{{d=sqrt((x[1]-x[2])^2+(y[1]-y[2])^2)}}}


{{{d=sqrt((-4--6)^2+(3-1)^2)}}} Plug in {{{x[1]=-4}}}, {{{x[2]=-6}}}, {{{y[1]=3}}}, {{{y[2]=1}}}


{{{d=sqrt((2)^2+(2)^2)}}} Evaluate {{{-4--6}}} to get 2. Evaluate {{{3-1}}} to get 2. 


{{{d=sqrt(4+4)}}} Square each value


{{{d=sqrt(8)}}} Add


{{{d=2*sqrt(2)}}} Simplify the square root



Which approximates to


{{{d=2.82842712474619}}}


So the distance between (-4,3) and (-6,1) is about 2.82842712474619