Question

Ally is analyzing a circle, y2 + x2 = 4, and a linear function g(x). Will they intersect?


x g(x)
0 3
4 0
8 −3

Answers:
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 instersect

Answer 1

put together the line equation y=mx+b from the points.
put that in the circle equation for y
see if it works

(m*x + b)^2 + x^2 = 4

those will be x values of intersection(s) if any exist

Answer 2

So whats the answer @DanJS

Answer 3

idk, try it out

Answer 4

Im not sure how to do it... @DanJS

Answer 5

Line -- y=(-3/4)*x + 3
circle -- y^2 + x^2 = 4

substitution of line into circle

[ (-3/4)*x +3 ] + x^2 = 4

solve, see if you get a value for x.