Question

Find an equation for all coplanar points whose distances from (2,3) and (8,3) have a constant difference of 4. I think you have to use the distance formula

Answer 1

Please help!

Answer 2

Sounds like a hyperbola..

Answer 3

Let's say we pick some arbitrary point \((x,y)\) in the plane. What is the distance from that point to the two given points? (Hint: use the distance formula, which is just an application of the Pythagorean theorem \(a^2+b^2=c^2\)).