Sally is analyzing a circle, y2 + x2 = 9, and a linear function g(x). Will they intersect?
Yes, at positive x-coordinates.
Yes, at negative x-coordinates.
Yes, at negative and positive x-coordinates.
No, they will not intersect.

x g(x)
-2 -1
1 1
4 3

Question

Sally is analyzing a circle, y2 + x2 = 9, and a linear function g(x). Will they intersect?
        Yes, at positive x-coordinates.
	Yes, at negative x-coordinates.
	Yes, at negative and positive x-coordinates.
	No, they will not intersect.

x	g(x)
-2	-1
1	1
4	3

anonymous · Answer

attachment

anonymous · Answer

Those four statements that are below the question would be the answer choices.

anonymous · Answer

@jim_thompson5910

anonymous · Answer

@RadEn @mathslover

superdavesuper · Answer

can u draw the straight line representing y=g(x) on the same graph there? u will get the answer after doing that.

tkhunny · Answer

Can you determine if some points are in the interior of the circle and perhaps others are on the exterior?

anonymous · Answer

yes @tkhunny

anonymous · Answer

the first two points of the function g(x) have points that are in the interior of the circle while the last one is in the exterior. @tkhunny

tkhunny · Answer

Given the behavior of linear functions, what does this mean for solutions?

anonymous · Answer

That the solutions would be positive

tkhunny · Answer

No, it doesn't tell you that.  It tells you that there are TWO points of intersection.  Where they are is the next consideration.

anonymous · Answer

Ok

anonymous · Answer

So then that would also lead up to the conclusion that they are in positive x coordinates correct?

anonymous · Answer

but positive x coordinates

tkhunny · Answer

You should follow @superdavesuper suggestion and actually draw the line.  You will see it after you do that.