Question 946894
To find the center, average x and y.
{{{h=(6-5)/2=1/2}}}
{{{k=(7-8)/2=-1/2}}}
Find the distance between the points to get the diameter and then radius.
{{{D^2=(6-(-5))^2+(7-(-8))^2}}}
{{{D^2=(11)^2+(15)^2}}}
{{{D^2=121+225}}}
{{{D^2=346}}}
{{{D=sqrt(346)}}}
{{{R=sqrt(346)/2}}}
{{{R^2=346/4}}}
{{{R^2=173/2}}}
So then,
{{{highlight((x-1/2)^2+(y+1/2)^2=173/2)}}}