Question 1045383
.
Find the distance between the points (-1,3)(-6-9)
~~~~~~~~~~~~~~~~~~~~~~~~~


<pre>
The distance between two points  ({{{x[1]}}},{{{y[1]}}})  and  ({{{x[2]}}},{{{y[2]}}})  in a coordinate plane is 

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

It is the general formula, and everybody knows it.


In  your case the distance is 

d = {{{sqrt(((-6)-(-1))^2 + ((-9)-3)^2)}}} = {{{sqrt((-5)^2 + (-12)^2)}}} = {{{sqrt(25 + 144)}}} = {{{sqrt(169)}}} = 13.


<U>Answer</U>.  The distance between the given points is 13.
</pre>