Question

More Algebra 2 help!

Sally is analyzing a circle, y2 + x2 = 9, and a linear function g(x). Will they intersect?

(Graph will be attached)

Answer 1

@SolomonZelman me again. Think you could help?

Answer 2

Look at the second point that the linear function has and tell me will it intersect or not ?

Answer 3

Not sure how to figure that out :l

Answer 4

Well, what is the second coordinate? write it in terms of (x,y)

Answer 5

(1,1)?

Answer 6

Yes, correct !

Answer 7

So, now well, it's inside the circle, so no matter where and how the line extends it would hit the circle, right ?

Answer 8

Yes, it would (:

Answer 9

Yes, so the linear function DOES intersect the circle.

Answer 10

So, that only leave option A as the only possible answer!

Answer 11

No, it can be A B and C

Answer 12

Oh

Answer 13

But it would go into the third quadrant and into the first quadrant extending from (1,1)

Answer 14

No I'm lost

Answer 15

Now*

Answer 16

OK, so it would go further and further into the first quadrant, and on the other hand, further and further into the first quadrant....

Answer 17

oh

Answer 18

....so the answer is ?

Answer 19

C, right?

Answer 20

Yeah, there we go ;)

Answer 21

Thanks again for your help! You're a life saver! :D

Answer 22

Nice to hear that.. thank YOU and YW !

Answer 23

lol you're welcome (: