Answer:
(x - 9)^2 + (y + 8)^2 = 17^2
Step by step solved:
The equation of a circle with center (a,b) and radius r is given by:
(x - a)^2 + (y - b)^2 = r^2
We are given the center of the circle as (9, -8), and we know that it contains the point (1,7). Let's call the radius of the circle r.
Substituting the given values into the equation, we get:
(1 - 9)^2 + (7 - (-8))^2 = r^2
(-8)^2 + (15)^2 = r^2
64 + 225 = r^2
289 = r^2
r = √289
r = 17
Therefore, the equation of the circle is:
(x - 9)^2 + (y + 8)^2 = 17^2