Question

Find the cartesian equation of the line passing through the points $A(3,4,-7)$ and $B(6,-1,1)$

Answer 1

Equation of line passing through two points is given by,

$\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1}=\frac{z-z_1}{z_2-z_1}$

$\Rightarrow \frac{x-3}{6-3}=\frac{y-4}{-1-4}=\frac{z-(-7)}{1-(-7)}$

$\Rightarrow \frac{x-3}{3}=\frac{y-4}{-5}=\frac{z+7}{8}$