what is the distance between the origin of a cartesia coordinate system and the point (4,-6)

Question

anteater · Answer

If you use the distance formula, $$d = \sqrt{(y _{2}- y _{1})^2 + (x _{2}-x _{1})^2}$$

anteater · Answer

And they give you the coordinates of one point (x,y) = (4, -6) and tell you that the other point is the origin. What are the coordinates of the origin?

anteater · Answer

What is meant by the "origin" is the point (0,0), the point where the x and y axes intersect.

anteater · Answer

So, you have two points: $$(x _{1},y _{1}) = (0,0)   and  (x _{2},y _{2}) = (4, -6)$$  
Using that information and the distance formula, what answer do you get?

anonymous · Answer

i dont know

anteater · Answer

If you plug in the information:

$$d = \sqrt{(x _{2}-x _{1.)^2}+(y _{2}-y _{1})^2}  = \sqrt{(4 - 0)^2 + (-6-0)^2}$$

anteater · Answer

When you do the arithmetic, what answer do you end up with?