Question 87357
Start with the given distance formula

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


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


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


{{{d=sqrt(16+36)}}} Square each value


{{{d=sqrt(52)}}} Add each value


{{{d=2*sqrt(13)}}} Simplify the square root



Which approximates to


{{{d=7.21110255092798}}}

So the distance between (-3,-2) and (1,4) is 7.21110255092798