What conic section degenerates into a line?
ellipse
circle
hyperbola
parabola

The answer is "parabola."

Step-by-step explanation:

Parabola- this is a symmetric open-plane curve that is formed by the intersection of a cone with a plane parallel to its side.

Degenerate Conic- this is generated when a plane intersects with the vertex of the cone.

Plane- a flat, two-dimensional surface that extends infinitely far.

Cone- a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex.

In Mathematics, the degenerate form of a parabola is a line or two parallel lines. The degenerate form of a hyperbola is two intersecting lines while a degenerate form of a circle or an ellipse is a singular point.

Thus, the answer is parabola.

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb