Answer:
(x-5)^2 + (y+4)^2 = 100
Step-by-step explanation:
First you need to know the equation of a circle which is,
(x – h)^2 + (y – k)^2 = r^2
(h,k) is the center point and r is the radius.
To find the radius use the distance formula which is
d=[tex]\sqrt(x2-x1)^2 + (y2-y1)^2[/tex] when you substitute you will get
[tex]\sqrt(5+3)^2 + (-4-2)^2[/tex] which simplifies to 10. That is the radius.
Then you will substitute that and the center point back into the equation to get the answer.
