I'm working midpoints, distance, circles and standard form and general form. I have some questions with my answers to the first two-I'm stuck on #3

Question

1. What is the distance between points (0,0) and (-3,5)
My answer: sqrt34
2.What is distance between (3,1) and (10,8)
My answer is 7sqrt2

3. I need the equation in general form (x^2 + y^2 + Dx + Ey +F = 0 for a circle whose center is (-3,-6) and passes through point (7,-3)
First I found radius which is distance between the two points = sqrt109
then it is ( ^2 + (y+6)^2 = 109
and then I'm lost please helpx+3)

Answer 1

1. correct
2. correct
3. correct: (x+3)^2 + (y+6)^2 = 109
Expand all that to get the general form.

Answer 2

Ah. you're lost?

(x+3)^2 + (y+6)^2 = 109
x^2 + 6x + 9 + y^2 + 12y + 36 = 109
x^2 + y^2 + 6x + 12y - 64 = 0

Answer 3

Thank you