Question

What is the distance between the origin of a Cartesian coordinate system and the point (5, -2)?

Answer 1

`=sqrt(29)`

Explanation:

The origin is `(x_1,y_1) = (0,0)`
and our second point is at `(x_2,y_2)=(5,-2)`

The horizontal distance (parallel to the x-axis) between the two points is 5
and
the vertical distance (parallel to the y-axis) between the two points is 2.

By the Pythagorean Theorem the distance between the two points is
`sqrt(5^2+2^2)`

`=sqrt(29)`