Question 174188


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



{{{d=sqrt((3-4)^2+(4-5)^2)}}} Plug in {{{x[1]=3}}},  {{{x[2]=4}}}, {{{y[1]=4}}}, and {{{y[2]=5}}}.



{{{d=sqrt((-1)^2+(4-5)^2)}}} Subtract {{{4}}} from {{{3}}} to get {{{-1}}}.



{{{d=sqrt((-1)^2+(-1)^2)}}} Subtract {{{5}}} from {{{4}}} to get {{{-1}}}.



{{{d=sqrt(1+(-1)^2)}}} Square {{{-1}}} to get {{{1}}}.



{{{d=sqrt(1+1)}}} Square {{{-1}}} to get {{{1}}}.



{{{d=sqrt(2)}}} Add {{{1}}} to {{{1}}} to get {{{2}}}.



So our answer is {{{d=sqrt(2)}}} 



Which approximates to {{{d=1.414}}} 



So the distance between the two points is approximately 1.414 units.