Choose the correct conic section to fit the equation.
x 2 + y 2 = 9
a. circle
b. ellipse
c. parabola
d. hyperbola

circle

Step-by-step explanation:

Circle

Step-by-step explanation:

The general equation of a conic section is in the form :

Ax^2+Bx+ Cy^2+Dy+E=0

When A or C  is 0, the equation is that of a parabola.

When A and C have the same value (including signs), the equation is that of a circle.

When A and C have the same sign, the equation is that of an ellipse .

When  A  and C have different signs, the equation is that on a hyperbola.

In this case, x^2 + y^2 = 9, A and C have the same sign, which means the equation is that of a circle.

y -5 = (-1/4)(x + 8)

step-by-step explanation: