SOLUTION: A circle has the equation x^2+y^2+8x-8y-49=0. Graph the circle using the center (h,k) and radius r. Find the intercepts, if any, of the graph. What are the intercepts? The in

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A circle has the equation x^2+y^2+8x-8y-49=0. Graph the circle using the center (h,k) and radius r. Find the intercepts, if any, of the graph. What are the intercepts? The in      Log On


   

Question 769775: A circle has the equation x^2+y^2+8x-8y-49=0.
Graph the circle using the center (h,k) and radius r. Find the intercepts, if any, of the graph.
What are the intercepts?
The intercept(s)is/are=
or
There are no intercepts.
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the Squares for x and y to put the equation into standard form. Then you can read (h,k) and radius value directly from the equation, and graph accordingly.

x%5E2%2By%5E2%2B8x-8y-49=0
x%5E2%2B8x%2By%5E2-8y=49
The square term for x is %288%2F2%29%5E2=16 and the square term for y is also 16.
%28x%5E2%2B8x%2B16%29%2B%28y%5E2-8y%2B16%29=49%2B32
%28x%2B4%29%5E2%2B%28y-4%29%5E2=81
highlight%28%28x%2B4%29%5E2%2B%28y-4%29%5E2=9%5E2%29
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Center: (-4, 4)
Radius: 9 units
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