Question

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

Answer 1

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

Answer 2

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?

Answer 3

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

Answer 4

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?

Answer 5

i dont know

Answer 6

If you plug in the information:

\[d = \sqrt{(x _{2}-x _{1.)^2}+(y _{2}-y _{1})^2} = \sqrt{(4 - 0)^2 + (-6-0)^2}\]

Answer 7

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