Question

Suppose the point J has a coordinate of -2 and JK=4. What are the possible coordinates of point K?

Answer 1

could be any real number

Explanation:

Suppose J's x-coordinate were -2. Then its y-coordinate could be any real number, k.

If JK = 4, then there are infinitely many points K(x,y) on a circle, radius 4, Center J(-2,k), and the equation of the circle is

(x+2)² + (y-k)²= 4²