Question 87855
Start with the given distance formula

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


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


{{{d=sqrt((-9)^2+(4)^2)}}} Evaluate {{{-6-3}}} to get -9. Evaluate {{{2--2}}} to get 4. 


{{{d=sqrt(81+16)}}} Square each value


{{{d=sqrt(97)}}} Add

Which approximates to


{{{d=9.8488578017961}}}


So the distance between (-6,2) and (3,-2) is about 9.8488578017961