# Given two points in 3-D space, such as A(x_1,y_1,z_1) and B(x_2,y_2,z_2), what would be the equation of the line that connects those points?

Equation of line passing through two points $A \left({x}_{1} , {y}_{1} , {z}_{1}\right)$ & $B \left({x}_{2} , {y}_{2} , {z}_{2}\right)$ are given as
$\setminus \frac{x - {x}_{1}}{{x}_{2} - {x}_{1}} = \setminus \frac{y - {y}_{1}}{{y}_{2} - {y}_{1}} = \setminus \frac{z - {z}_{1}}{{z}_{2} - {z}_{1}} = t$
Where, $t$ is some arbitrary constant