** asap** terri is analyzing a circle, y^2 + x^2 = 36, and a linear function g(x). will they intersect?

yes, at positive x-coordinates or zero
yes, at negative x-coordinates or zero
yes, at negative and positive x-coordinates or zero
no, they will not intersect

We analyze the linear function to find that it has equation .  Drawing the line, we find that it will intersect the circle at negative and positive x-coordinates.

We can prove this by substituting into the given equation:









Hence, or , so there are both positive and negative values for .