Question 214134
{{{d=sqrt((x[1]-x[2])^2+(y[1]-y[2])^2)}}} Start with the distance formula.



{{{d=sqrt((5--2)^2+(3--3)^2)}}} Plug in {{{x[1]=5}}},  {{{x[2]=-2}}}, {{{y[1]=3}}}, and {{{y[2]=-3}}}.



{{{d=sqrt((7)^2+(3--3)^2)}}} Subtract {{{-2}}} from {{{5}}} to get {{{7}}}.



{{{d=sqrt((7)^2+(6)^2)}}} Subtract {{{-3}}} from {{{3}}} to get {{{6}}}.



{{{d=sqrt(49+(6)^2)}}} Square {{{7}}} to get {{{49}}}.



{{{d=sqrt(49+36)}}} Square {{{6}}} to get {{{36}}}.



{{{d=sqrt(85)}}} Add {{{49}}} to {{{36}}} to get {{{85}}}.



So our answer is {{{d=sqrt(85)}}} 



Which approximates to {{{d=9.22}}} 



So the distance between the two points is approximately 9.22 units.