# What is the distance between the origin of a Cartesian coordinate system and the point (-5, -8)?

The origin has coordinaes $\left(0 , 0\right)$ so you can use, for your distance $d$, the relationship (which is a way of using Pythagora's Theorem in the Cartesian Plane):
$d = \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$
$d = \sqrt{{\left(- 5 - 0\right)}^{2} + {\left(- 8 - 0\right)}^{2}} = 9.4$