Question

Write the equation of the circle with center (-1, 9) and containing the point (2, 5). Use the ^ key for the exponents.

Write your answer like this: (x+3)^2+(y-8)^2=49

Answer 1

that is easy use the equation i gave you lol.

Answer 2

(x - h)2 + (y-k)2 = r2

Answer 3

So that's how i would write the answer? lol

Answer 4

yes plug in your knowns
but you have to find the R using the distance formula.

Answer 5

okay! Thanks

Answer 6

remember that you are given a point on the circle and an origin and the distance is found using the distance formula.

Answer 7

First, you have to know the radius of the circle.
You have a point and the center, so, just use the distance formula.
\[R=\sqrt{(-1-2)^2+(9-5)²} = \sqrt{9+16} = 5\]
So, the equation of the circle is:
\[(x-a)²+(y-k)²=R²\], where a = x coordinate of the center, k = y coordinate of the center and R = radius, so, you will have:\[(x-(-1))²+(y-(9))²=5² \iff (x+1)²+(y-9)²=25\]
Answer:
\[(x+1)²+(y-9)²=25\]

Answer 8

Thank you so much!

Answer 9

you're welcome :]