# Math Help - Equation representing the set of all points

1. ## Equation representing the set of all points

Im confused on how to do this particular problem:

Find the equation representing the set of all points (x,y,z) whose distance from the point( 1,5,-4) is 12.

I'm pretty sure I need to use the distance formula, just don't really know where or how.

Some help with this would be great!
Thanks!

2. Originally Posted by Murphie
Im confused on how to do this particular problem:

Find the equation representing the set of all points (x,y,z) whose distance from the point( 1,5,-4) is 12.

I'm pretty sure I need to use the distance formula, just don't really know where or how.

Some help with this would be great!
Thanks!
the set of points described is a sphere of radius 12 centered at (1,5,-4) ...

$(x-1)^2 + (y-5)^2 + (z+4)^2 = 12^2$