Question

Determine the distance from the origin with the points. Answer in mixed radical form

(-6,-8)

Please show me how to do this

Answer 1

what are the coordinates of the "origin" anyway?

Answer 2

Origin = (0,0)

Answer 3

Make a triangle, then use the pythagorean theorem (A^2+B^2=C^2) to solve it. One length is 6. (0,0 to -6,0) The other side is 8 (-6,0 to -6,-8) and the last side is what we are trying to figure out.
So now we have:
6^2+8^2=c^2
36+64=c^2
100=c^2
c=10

So the distance is 10.
Sorry I don't have a picture to show you, it'd be easier to see that way.