Question 87362
Start with the given distance formula

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


{{{d=sqrt((8--6)^2+(2--2)^2)}}} Plug in {{{x[1]=8}}}, {{{x[2]=2}}}, {{{y[1]=-6}}}, {{{y[2]=-2}}}


{{{d=sqrt((14)^2+(4)^2)}}} Subtract {{{8--6}}} to get 14. Subtract {{{2--2}}} to get 4.


{{{d=sqrt(196+16)}}} Square each value


{{{d=sqrt(212)}}} Add each value


{{{d=2*sqrt(53)}}} Simplify the square root



Which approximates to


{{{d=14.560219778561}}}

So the distance between (8,2) and (-6,-2) is 14.560219778561