# What is the distance between (-6,3,-4) and (-9,10,2)?

$\sqrt{94}$
The distance formula between two points in 2D is sqrt((x_1-x_0)^2+(y_1-y_0)^2.
The distance formula between two points in 3D is similar: $\sqrt{{\left({x}_{1} - {x}_{0}\right)}^{2} + {\left({y}_{1} - {y}_{0}\right)}^{2} + {\left({z}_{1} - {z}_{0}\right)}^{2}}$.
We just need to substitute the values in: $\sqrt{{\left({x}_{1} - {x}_{0}\right)}^{2} + {\left({y}_{1} - {y}_{0}\right)}^{2} + {\left({z}_{1} - {z}_{0}\right)}^{2}} = \sqrt{{\left(- 9 - \left(- 6\right)\right)}^{2} + {\left(10 - 3\right)}^{2} + {\left(2 - \left(- 4\right)\right)}^{2}} = \sqrt{94}$.